[Boost-commit] svn:boost r50511 - sandbox/math_toolkit/boost/math/special_functions

Subject: [Boost-commit] svn:boost r50511 - sandbox/math_toolkit/boost/math/special_functions
From: john_at_[hidden]
Date: 2009-01-08 05:21:19

Author: johnmaddock
Date: 2009-01-08 05:21:18 EST (Thu, 08 Jan 2009)
New Revision: 50511
URL: http://svn.boost.org/trac/boost/changeset/50511

Log:
Initial commit
Added:
   sandbox/math_toolkit/boost/math/special_functions/prime.hpp   (contents, props changed)

Added: sandbox/math_toolkit/boost/math/special_functions/prime.hpp
==============================================================================
--- (empty file)
+++ sandbox/math_toolkit/boost/math/special_functions/prime.hpp	2009-01-08 05:21:18 EST (Thu, 08 Jan 2009)
@@ -0,0 +1,1214 @@
+// Copyright 2008 John Maddock
+//
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+#include <boost/array.hpp>
+#include <boost/cstdint.hpp>
+#include <boost/math/policies/error_handling.hpp>
+
+namespace boost{ namespace math{
+
+   template <class Policy>
+   boost::uint32_t prime(unsigned n, const Policy& pol)
+   {
+      //
+      // This is basically three big tables which together
+      // occupy 19946 bytes, we use the smallest type which
+      // will handle each value, and store the final set of 
+      // values in a uint16_t with the values offset by 0xffff.
+      // That gives us the first 10000 primes with the largest
+      // being 104729:
+      //
+      static const int b1 = 53;
+      static const int b2 = 6541;
+      static const int b3 = 10000;
+      static const boost::array<unsigned char, 54> a1 = {
+         2u, 3u, 5u, 7u, 11u, 13u, 17u, 19u, 23u, 29u, 31u, 
+         37u, 41u, 43u, 47u, 53u, 59u, 61u, 67u, 71u, 73u, 
+         79u, 83u, 89u, 97u, 101u, 103u, 107u, 109u, 113u, 
+         127u, 131u, 137u, 139u, 149u, 151u, 157u, 163u, 
+         167u, 173u, 179u, 181u, 191u, 193u, 197u, 199u, 
+         211u, 223u, 227u, 229u, 233u, 239u, 241u, 251u
+      };
+      static const boost::array<boost::uint16_t, 6488> a2 = {
+         257u, 263u, 269u, 271u, 277u, 281u, 283u, 293u, 
+         307u, 311u, 313u, 317u, 331u, 337u, 347u, 349u, 353u, 
+         359u, 367u, 373u, 379u, 383u, 389u, 397u, 401u, 409u, 
+         419u, 421u, 431u, 433u, 439u, 443u, 449u, 457u, 461u, 
+         463u, 467u, 479u, 487u, 491u, 499u, 503u, 509u, 521u, 
+         523u, 541u, 547u, 557u, 563u, 569u, 571u, 577u, 587u, 
+         593u, 599u, 601u, 607u, 613u, 617u, 619u, 631u, 641u, 
+         643u, 647u, 653u, 659u, 661u, 673u, 677u, 683u, 691u, 
+         701u, 709u, 719u, 727u, 733u, 739u, 743u, 751u, 757u, 
+         761u, 769u, 773u, 787u, 797u, 809u, 811u, 821u, 823u, 
+         827u, 829u, 839u, 853u, 857u, 859u, 863u, 877u, 881u, 
+         883u, 887u, 907u, 911u, 919u, 929u, 937u, 941u, 947u, 
+         953u, 967u, 971u, 977u, 983u, 991u, 997u, 1009u, 1013u, 
+         1019u, 1021u, 1031u, 1033u, 1039u, 1049u, 1051u, 1061u, 1063u, 
+         1069u, 1087u, 1091u, 1093u, 1097u, 1103u, 1109u, 1117u, 1123u, 
+         1129u, 1151u, 1153u, 1163u, 1171u, 1181u, 1187u, 1193u, 1201u, 
+         1213u, 1217u, 1223u, 1229u, 1231u, 1237u, 1249u, 1259u, 1277u, 
+         1279u, 1283u, 1289u, 1291u, 1297u, 1301u, 1303u, 1307u, 1319u, 
+         1321u, 1327u, 1361u, 1367u, 1373u, 1381u, 1399u, 1409u, 1423u, 
+         1427u, 1429u, 1433u, 1439u, 1447u, 1451u, 1453u, 1459u, 1471u, 
+         1481u, 1483u, 1487u, 1489u, 1493u, 1499u, 1511u, 1523u, 1531u, 
+         1543u, 1549u, 1553u, 1559u, 1567u, 1571u, 1579u, 1583u, 1597u, 
+         1601u, 1607u, 1609u, 1613u, 1619u, 1621u, 1627u, 1637u, 1657u, 
+         1663u, 1667u, 1669u, 1693u, 1697u, 1699u, 1709u, 1721u, 1723u, 
+         1733u, 1741u, 1747u, 1753u, 1759u, 1777u, 1783u, 1787u, 1789u, 
+         1801u, 1811u, 1823u, 1831u, 1847u, 1861u, 1867u, 1871u, 1873u, 
+         1877u, 1879u, 1889u, 1901u, 1907u, 1913u, 1931u, 1933u, 1949u, 
+         1951u, 1973u, 1979u, 1987u, 1993u, 1997u, 1999u, 2003u, 2011u, 
+         2017u, 2027u, 2029u, 2039u, 2053u, 2063u, 2069u, 2081u, 2083u, 
+         2087u, 2089u, 2099u, 2111u, 2113u, 2129u, 2131u, 2137u, 2141u, 
+         2143u, 2153u, 2161u, 2179u, 2203u, 2207u, 2213u, 2221u, 2237u, 
+         2239u, 2243u, 2251u, 2267u, 2269u, 2273u, 2281u, 2287u, 2293u, 
+         2297u, 2309u, 2311u, 2333u, 2339u, 2341u, 2347u, 2351u, 2357u, 
+         2371u, 2377u, 2381u, 2383u, 2389u, 2393u, 2399u, 2411u, 2417u, 
+         2423u, 2437u, 2441u, 2447u, 2459u, 2467u, 2473u, 2477u, 2503u, 
+         2521u, 2531u, 2539u, 2543u, 2549u, 2551u, 2557u, 2579u, 2591u, 
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+         2671u, 2677u, 2683u, 2687u, 2689u, 2693u, 2699u, 2707u, 2711u, 
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+         52291u, 52301u, 52313u, 52321u, 52361u, 52363u, 52369u, 52379u, 52387u, 
+         52391u, 52433u, 52453u, 52457u, 52489u, 52501u, 52511u, 52517u, 52529u, 
+         52541u, 52543u, 52553u, 52561u, 52567u, 52571u, 52579u, 52583u, 52609u, 
+         52627u, 52631u, 52639u, 52667u, 52673u, 52691u, 52697u, 52709u, 52711u, 
+         52721u, 52727u, 52733u, 52747u, 52757u, 52769u, 52783u, 52807u, 52813u, 
+         52817u, 52837u, 52859u, 52861u, 52879u, 52883u, 52889u, 52901u, 52903u, 
+         52919u, 52937u, 52951u, 52957u, 52963u, 52967u, 52973u, 52981u, 52999u, 
+         53003u, 53017u, 53047u, 53051u, 53069u, 53077u, 53087u, 53089u, 53093u, 
+         53101u, 53113u, 53117u, 53129u, 53147u, 53149u, 53161u, 53171u, 53173u, 
+         53189u, 53197u, 53201u, 53231u, 53233u, 53239u, 53267u, 53269u, 53279u, 
+         53281u, 53299u, 53309u, 53323u, 53327u, 53353u, 53359u, 53377u, 53381u, 
+         53401u, 53407u, 53411u, 53419u, 53437u, 53441u, 53453u, 53479u, 53503u, 
+         53507u, 53527u, 53549u, 53551u, 53569u, 53591u, 53593u, 53597u, 53609u, 
+         53611u, 53617u, 53623u, 53629u, 53633u, 53639u, 53653u, 53657u, 53681u, 
+         53693u, 53699u, 53717u, 53719u, 53731u, 53759u, 53773u, 53777u, 53783u, 
+         53791u, 53813u, 53819u, 53831u, 53849u, 53857u, 53861u, 53881u, 53887u, 
+         53891u, 53897u, 53899u, 53917u, 53923u, 53927u, 53939u, 53951u, 53959u, 
+         53987u, 53993u, 54001u, 54011u, 54013u, 54037u, 54049u, 54059u, 54083u, 
+         54091u, 54101u, 54121u, 54133u, 54139u, 54151u, 54163u, 54167u, 54181u, 
+         54193u, 54217u, 54251u, 54269u, 54277u, 54287u, 54293u, 54311u, 54319u, 
+         54323u, 54331u, 54347u, 54361u, 54367u, 54371u, 54377u, 54401u, 54403u, 
+         54409u, 54413u, 54419u, 54421u, 54437u, 54443u, 54449u, 54469u, 54493u, 
+         54497u, 54499u, 54503u, 54517u, 54521u, 54539u, 54541u, 54547u, 54559u, 
+         54563u, 54577u, 54581u, 54583u, 54601u, 54617u, 54623u, 54629u, 54631u, 
+         54647u, 54667u, 54673u, 54679u, 54709u, 54713u, 54721u, 54727u, 54751u, 
+         54767u, 54773u, 54779u, 54787u, 54799u, 54829u, 54833u, 54851u, 54869u, 
+         54877u, 54881u, 54907u, 54917u, 54919u, 54941u, 54949u, 54959u, 54973u, 
+         54979u, 54983u, 55001u, 55009u, 55021u, 55049u, 55051u, 55057u, 55061u, 
+         55073u, 55079u, 55103u, 55109u, 55117u, 55127u, 55147u, 55163u, 55171u, 
+         55201u, 55207u, 55213u, 55217u, 55219u, 55229u, 55243u, 55249u, 55259u, 
+         55291u, 55313u, 55331u, 55333u, 55337u, 55339u, 55343u, 55351u, 55373u, 
+         55381u, 55399u, 55411u, 55439u, 55441u, 55457u, 55469u, 55487u, 55501u, 
+         55511u, 55529u, 55541u, 55547u, 55579u, 55589u, 55603u, 55609u, 55619u, 
+         55621u, 55631u, 55633u, 55639u, 55661u, 55663u, 55667u, 55673u, 55681u, 
+         55691u, 55697u, 55711u, 55717u, 55721u, 55733u, 55763u, 55787u, 55793u, 
+         55799u, 55807u, 55813u, 55817u, 55819u, 55823u, 55829u, 55837u, 55843u, 
+         55849u, 55871u, 55889u, 55897u, 55901u, 55903u, 55921u, 55927u, 55931u, 
+         55933u, 55949u, 55967u, 55987u, 55997u, 56003u, 56009u, 56039u, 56041u, 
+         56053u, 56081u, 56087u, 56093u, 56099u, 56101u, 56113u, 56123u, 56131u, 
+         56149u, 56167u, 56171u, 56179u, 56197u, 56207u, 56209u, 56237u, 56239u, 
+         56249u, 56263u, 56267u, 56269u, 56299u, 56311u, 56333u, 56359u, 56369u, 
+         56377u, 56383u, 56393u, 56401u, 56417u, 56431u, 56437u, 56443u, 56453u, 
+         56467u, 56473u, 56477u, 56479u, 56489u, 56501u, 56503u, 56509u, 56519u, 
+         56527u, 56531u, 56533u, 56543u, 56569u, 56591u, 56597u, 56599u, 56611u, 
+         56629u, 56633u, 56659u, 56663u, 56671u, 56681u, 56687u, 56701u, 56711u, 
+         56713u, 56731u, 56737u, 56747u, 56767u, 56773u, 56779u, 56783u, 56807u, 
+         56809u, 56813u, 56821u, 56827u, 56843u, 56857u, 56873u, 56891u, 56893u, 
+         56897u, 56909u, 56911u, 56921u, 56923u, 56929u, 56941u, 56951u, 56957u, 
+         56963u, 56983u, 56989u, 56993u, 56999u, 57037u, 57041u, 57047u, 57059u, 
+         57073u, 57077u, 57089u, 57097u, 57107u, 57119u, 57131u, 57139u, 57143u, 
+         57149u, 57163u, 57173u, 57179u, 57191u, 57193u, 57203u, 57221u, 57223u, 
+         57241u, 57251u, 57259u, 57269u, 57271u, 57283u, 57287u, 57301u, 57329u, 
+         57331u, 57347u, 57349u, 57367u, 57373u, 57383u, 57389u, 57397u, 57413u, 
+         57427u, 57457u, 57467u, 57487u, 57493u, 57503u, 57527u, 57529u, 57557u, 
+         57559u, 57571u, 57587u, 57593u, 57601u, 57637u, 57641u, 57649u, 57653u, 
+         57667u, 57679u, 57689u, 57697u, 57709u, 57713u, 57719u, 57727u, 57731u, 
+         57737u, 57751u, 57773u, 57781u, 57787u, 57791u, 57793u, 57803u, 57809u, 
+         57829u, 57839u, 57847u, 57853u, 57859u, 57881u, 57899u, 57901u, 57917u, 
+         57923u, 57943u, 57947u, 57973u, 57977u, 57991u, 58013u, 58027u, 58031u, 
+         58043u, 58049u, 58057u, 58061u, 58067u, 58073u, 58099u, 58109u, 58111u, 
+         58129u, 58147u, 58151u, 58153u, 58169u, 58171u, 58189u, 58193u, 58199u, 
+         58207u, 58211u, 58217u, 58229u, 58231u, 58237u, 58243u, 58271u, 58309u, 
+         58313u, 58321u, 58337u, 58363u, 58367u, 58369u, 58379u, 58391u, 58393u, 
+         58403u, 58411u, 58417u, 58427u, 58439u, 58441u, 58451u, 58453u, 58477u, 
+         58481u, 58511u, 58537u, 58543u, 58549u, 58567u, 58573u, 58579u, 58601u, 
+         58603u, 58613u, 58631u, 58657u, 58661u, 58679u, 58687u, 58693u, 58699u, 
+         58711u, 58727u, 58733u, 58741u, 58757u, 58763u, 58771u, 58787u, 58789u, 
+         58831u, 58889u, 58897u, 58901u, 58907u, 58909u, 58913u, 58921u, 58937u, 
+         58943u, 58963u, 58967u, 58979u, 58991u, 58997u, 59009u, 59011u, 59021u, 
+         59023u, 59029u, 59051u, 59053u, 59063u, 59069u, 59077u, 59083u, 59093u, 
+         59107u, 59113u, 59119u, 59123u, 59141u, 59149u, 59159u, 59167u, 59183u, 
+         59197u, 59207u, 59209u, 59219u, 59221u, 59233u, 59239u, 59243u, 59263u, 
+         59273u, 59281u, 59333u, 59341u, 59351u, 59357u, 59359u, 59369u, 59377u, 
+         59387u, 59393u, 59399u, 59407u, 59417u, 59419u, 59441u, 59443u, 59447u, 
+         59453u, 59467u, 59471u, 59473u, 59497u, 59509u, 59513u, 59539u, 59557u, 
+         59561u, 59567u, 59581u, 59611u, 59617u, 59621u, 59627u, 59629u, 59651u, 
+         59659u, 59663u, 59669u, 59671u, 59693u, 59699u, 59707u, 59723u, 59729u, 
+         59743u, 59747u, 59753u, 59771u, 59779u, 59791u, 59797u, 59809u, 59833u, 
+         59863u, 59879u, 59887u, 59921u, 59929u, 59951u, 59957u, 59971u, 59981u, 
+         59999u, 60013u, 60017u, 60029u, 60037u, 60041u, 60077u, 60083u, 60089u, 
+         60091u, 60101u, 60103u, 60107u, 60127u, 60133u, 60139u, 60149u, 60161u, 
+         60167u, 60169u, 60209u, 60217u, 60223u, 60251u, 60257u, 60259u, 60271u, 
+         60289u, 60293u, 60317u, 60331u, 60337u, 60343u, 60353u, 60373u, 60383u, 
+         60397u, 60413u, 60427u, 60443u, 60449u, 60457u, 60493u, 60497u, 60509u, 
+         60521u, 60527u, 60539u, 60589u, 60601u, 60607u, 60611u, 60617u, 60623u, 
+         60631u, 60637u, 60647u, 60649u, 60659u, 60661u, 60679u, 60689u, 60703u, 
+         60719u, 60727u, 60733u, 60737u, 60757u, 60761u, 60763u, 60773u, 60779u, 
+         60793u, 60811u, 60821u, 60859u, 60869u, 60887u, 60889u, 60899u, 60901u, 
+         60913u, 60917u, 60919u, 60923u, 60937u, 60943u, 60953u, 60961u, 61001u, 
+         61007u, 61027u, 61031u, 61043u, 61051u, 61057u, 61091u, 61099u, 61121u, 
+         61129u, 61141u, 61151u, 61153u, 61169u, 61211u, 61223u, 61231u, 61253u, 
+         61261u, 61283u, 61291u, 61297u, 61331u, 61333u, 61339u, 61343u, 61357u, 
+         61363u, 61379u, 61381u, 61403u, 61409u, 61417u, 61441u, 61463u, 61469u, 
+         61471u, 61483u, 61487u, 61493u, 61507u, 61511u, 61519u, 61543u, 61547u, 
+         61553u, 61559u, 61561u, 61583u, 61603u, 61609u, 61613u, 61627u, 61631u, 
+         61637u, 61643u, 61651u, 61657u, 61667u, 61673u, 61681u, 61687u, 61703u, 
+         61717u, 61723u, 61729u, 61751u, 61757u, 61781u, 61813u, 61819u, 61837u, 
+         61843u, 61861u, 61871u, 61879u, 61909u, 61927u, 61933u, 61949u, 61961u, 
+         61967u, 61979u, 61981u, 61987u, 61991u, 62003u, 62011u, 62017u, 62039u, 
+         62047u, 62053u, 62057u, 62071u, 62081u, 62099u, 62119u, 62129u, 62131u, 
+         62137u, 62141u, 62143u, 62171u, 62189u, 62191u, 62201u, 62207u, 62213u, 
+         62219u, 62233u, 62273u, 62297u, 62299u, 62303u, 62311u, 62323u, 62327u, 
+         62347u, 62351u, 62383u, 62401u, 62417u, 62423u, 62459u, 62467u, 62473u, 
+         62477u, 62483u, 62497u, 62501u, 62507u, 62533u, 62539u, 62549u, 62563u, 
+         62581u, 62591u, 62597u, 62603u, 62617u, 62627u, 62633u, 62639u, 62653u, 
+         62659u, 62683u, 62687u, 62701u, 62723u, 62731u, 62743u, 62753u, 62761u, 
+         62773u, 62791u, 62801u, 62819u, 62827u, 62851u, 62861u, 62869u, 62873u, 
+         62897u, 62903u, 62921u, 62927u, 62929u, 62939u, 62969u, 62971u, 62981u, 
+         62983u, 62987u, 62989u, 63029u, 63031u, 63059u, 63067u, 63073u, 63079u, 
+         63097u, 63103u, 63113u, 63127u, 63131u, 63149u, 63179u, 63197u, 63199u, 
+         63211u, 63241u, 63247u, 63277u, 63281u, 63299u, 63311u, 63313u, 63317u, 
+         63331u, 63337u, 63347u, 63353u, 63361u, 63367u, 63377u, 63389u, 63391u, 
+         63397u, 63409u, 63419u, 63421u, 63439u, 63443u, 63463u, 63467u, 63473u, 
+         63487u, 63493u, 63499u, 63521u, 63527u, 63533u, 63541u, 63559u, 63577u, 
+         63587u, 63589u, 63599u, 63601u, 63607u, 63611u, 63617u, 63629u, 63647u, 
+         63649u, 63659u, 63667u, 63671u, 63689u, 63691u, 63697u, 63703u, 63709u, 
+         63719u, 63727u, 63737u, 63743u, 63761u, 63773u, 63781u, 63793u, 63799u, 
+         63803u, 63809u, 63823u, 63839u, 63841u, 63853u, 63857u, 63863u, 63901u, 
+         63907u, 63913u, 63929u, 63949u, 63977u, 63997u, 64007u, 64013u, 64019u, 
+         64033u, 64037u, 64063u, 64067u, 64081u, 64091u, 64109u, 64123u, 64151u, 
+         64153u, 64157u, 64171u, 64187u, 64189u, 64217u, 64223u, 64231u, 64237u, 
+         64271u, 64279u, 64283u, 64301u, 64303u, 64319u, 64327u, 64333u, 64373u, 
+         64381u, 64399u, 64403u, 64433u, 64439u, 64451u, 64453u, 64483u, 64489u, 
+         64499u, 64513u, 64553u, 64567u, 64577u, 64579u, 64591u, 64601u, 64609u, 
+         64613u, 64621u, 64627u, 64633u, 64661u, 64663u, 64667u, 64679u, 64693u, 
+         64709u, 64717u, 64747u, 64763u, 64781u, 64783u, 64793u, 64811u, 64817u, 
+         64849u, 64853u, 64871u, 64877u, 64879u, 64891u, 64901u, 64919u, 64921u, 
+         64927u, 64937u, 64951u, 64969u, 64997u, 65003u, 65011u, 65027u, 65029u, 
+         65033u, 65053u, 65063u, 65071u, 65089u, 65099u, 65101u, 65111u, 65119u, 
+         65123u, 65129u, 65141u, 65147u, 65167u, 65171u, 65173u, 65179u, 65183u, 
+         65203u, 65213u, 65239u, 65257u, 65267u, 65269u, 65287u, 65293u, 65309u, 
+         65323u, 65327u, 65353u, 65357u, 65371u, 65381u, 65393u, 65407u, 65413u, 
+         65419u, 65423u, 65437u, 65447u, 65449u, 65479u, 65497u, 65519u, 65521u
+      };
+      static const boost::array<boost::uint16_t, 3458> a3 = {
+         2u, 4u, 8u, 16u, 22u, 28u, 44u, 
+         46u, 52u, 64u, 74u, 82u, 94u, 98u, 112u, 
+         116u, 122u, 142u, 152u, 164u, 166u, 172u, 178u, 
+         182u, 184u, 194u, 196u, 226u, 242u, 254u, 274u, 
+         292u, 296u, 302u, 304u, 308u, 316u, 332u, 346u, 
+         364u, 386u, 392u, 394u, 416u, 422u, 428u, 446u, 
+         448u, 458u, 494u, 502u, 506u, 512u, 532u, 536u, 
+         548u, 554u, 568u, 572u, 574u, 602u, 626u, 634u, 
+         638u, 644u, 656u, 686u, 704u, 736u, 758u, 766u, 
+         802u, 808u, 812u, 824u, 826u, 838u, 842u, 848u, 
+         868u, 878u, 896u, 914u, 922u, 928u, 932u, 956u, 
+         964u, 974u, 988u, 994u, 998u, 1006u, 1018u, 1034u, 
+         1036u, 1052u, 1058u, 1066u, 1082u, 1094u, 1108u, 1118u, 
+         1148u, 1162u, 1166u, 1178u, 1186u, 1198u, 1204u, 1214u, 
+         1216u, 1228u, 1256u, 1262u, 1274u, 1286u, 1306u, 1316u, 
+         1318u, 1328u, 1342u, 1348u, 1354u, 1384u, 1388u, 1396u, 
+         1408u, 1412u, 1414u, 1424u, 1438u, 1442u, 1468u, 1486u, 
+         1498u, 1508u, 1514u, 1522u, 1526u, 1538u, 1544u, 1568u, 
+         1586u, 1594u, 1604u, 1606u, 1618u, 1622u, 1634u, 1646u, 
+         1652u, 1654u, 1676u, 1678u, 1682u, 1684u, 1696u, 1712u, 
+         1726u, 1736u, 1738u, 1754u, 1772u, 1804u, 1808u, 1814u, 
+         1834u, 1856u, 1864u, 1874u, 1876u, 1886u, 1892u, 1894u, 
+         1898u, 1912u, 1918u, 1942u, 1946u, 1954u, 1958u, 1964u, 
+         1976u, 1988u, 1996u, 2002u, 2012u, 2024u, 2032u, 2042u, 
+         2044u, 2054u, 2066u, 2072u, 2084u, 2096u, 2116u, 2144u, 
+         2164u, 2174u, 2188u, 2198u, 2206u, 2216u, 2222u, 2224u, 
+         2228u, 2242u, 2248u, 2254u, 2266u, 2272u, 2284u, 2294u, 
+         2308u, 2318u, 2332u, 2348u, 2356u, 2366u, 2392u, 2396u, 
+         2398u, 2404u, 2408u, 2422u, 2426u, 2432u, 2444u, 2452u, 
+         2458u, 2488u, 2506u, 2518u, 2524u, 2536u, 2552u, 2564u, 
+         2576u, 2578u, 2606u, 2612u, 2626u, 2636u, 2672u, 2674u, 
+         2678u, 2684u, 2692u, 2704u, 2726u, 2744u, 2746u, 2776u, 
+         2794u, 2816u, 2836u, 2854u, 2864u, 2902u, 2908u, 2912u, 
+         2914u, 2938u, 2942u, 2948u, 2954u, 2956u, 2966u, 2972u, 
+         2986u, 2996u, 3004u, 3008u, 3032u, 3046u, 3062u, 3076u, 
+         3098u, 3104u, 3124u, 3134u, 3148u, 3152u, 3164u, 3176u, 
+         3178u, 3194u, 3202u, 3208u, 3214u, 3232u, 3236u, 3242u, 
+         3256u, 3278u, 3284u, 3286u, 3328u, 3344u, 3346u, 3356u, 
+         3362u, 3364u, 3368u, 3374u, 3382u, 3392u, 3412u, 3428u, 
+         3458u, 3466u, 3476u, 3484u, 3494u, 3496u, 3526u, 3532u, 
+         3538u, 3574u, 3584u, 3592u, 3608u, 3614u, 3616u, 3628u, 
+         3656u, 3658u, 3662u, 3668u, 3686u, 3698u, 3704u, 3712u, 
+         3722u, 3724u, 3728u, 3778u, 3782u, 3802u, 3806u, 3836u, 
+         3844u, 3848u, 3854u, 3866u, 3868u, 3892u, 3896u, 3904u, 
+         3922u, 3928u, 3932u, 3938u, 3946u, 3956u, 3958u, 3962u, 
+         3964u, 4004u, 4022u, 4058u, 4088u, 4118u, 4126u, 4142u, 
+         4156u, 4162u, 4174u, 4202u, 4204u, 4226u, 4228u, 4232u, 
+         4244u, 4274u, 4286u, 4292u, 4294u, 4298u, 4312u, 4322u, 
+         4324u, 4342u, 4364u, 4376u, 4394u, 4396u, 4406u, 4424u, 
+         4456u, 4462u, 4466u, 4468u, 4474u, 4484u, 4504u, 4516u, 
+         4526u, 4532u, 4544u, 4564u, 4576u, 4582u, 4586u, 4588u, 
+         4604u, 4606u, 4622u, 4628u, 4642u, 4646u, 4648u, 4664u, 
+         4666u, 4672u, 4688u, 4694u, 4702u, 4706u, 4714u, 4736u, 
+         4754u, 4762u, 4774u, 4778u, 4786u, 4792u, 4816u, 4838u, 
+         4844u, 4846u, 4858u, 4888u, 4894u, 4904u, 4916u, 4922u, 
+         4924u, 4946u, 4952u, 4954u, 4966u, 4972u, 4994u, 5002u, 
+         5014u, 5036u, 5038u, 5048u, 5054u, 5072u, 5084u, 5086u, 
+         5092u, 5104u, 5122u, 5128u, 5132u, 5152u, 5174u, 5182u, 
+         5194u, 5218u, 5234u, 5248u, 5258u, 5288u, 5306u, 5308u, 
+         5314u, 5318u, 5332u, 5342u, 5344u, 5356u, 5366u, 5378u, 
+         5384u, 5386u, 5402u, 5414u, 5416u, 5422u, 5434u, 5444u, 
+         5446u, 5456u, 5462u, 5464u, 5476u, 5488u, 5504u, 5524u, 
+         5534u, 5546u, 5554u, 5584u, 5594u, 5608u, 5612u, 5618u, 
+         5626u, 5632u, 5636u, 5656u, 5674u, 5698u, 5702u, 5714u, 
+         5722u, 5726u, 5728u, 5752u, 5758u, 5782u, 5792u, 5794u, 
+         5798u, 5804u, 5806u, 5812u, 5818u, 5824u, 5828u, 5852u, 
+         5854u, 5864u, 5876u, 5878u, 5884u, 5894u, 5902u, 5908u, 
+         5918u, 5936u, 5938u, 5944u, 5948u, 5968u, 5992u, 6002u, 
+         6014u, 6016u, 6028u, 6034u, 6058u, 6062u, 6098u, 6112u, 
+         6128u, 6136u, 6158u, 6164u, 6172u, 6176u, 6178u, 6184u, 
+         6206u, 6226u, 6242u, 6254u, 6272u, 6274u, 6286u, 6302u, 
+         6308u, 6314u, 6326u, 6332u, 6344u, 6346u, 6352u, 6364u, 
+         6374u, 6382u, 6398u, 6406u, 6412u, 6428u, 6436u, 6448u, 
+         6452u, 6458u, 6464u, 6484u, 6496u, 6508u, 6512u, 6518u, 
+         6538u, 6542u, 6554u, 6556u, 6566u, 6568u, 6574u, 6604u, 
+         6626u, 6632u, 6634u, 6638u, 6676u, 6686u, 6688u, 6692u, 
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+         27134u, 27136u, 27146u, 27148u, 27158u, 27164u, 27172u, 27182u, 
+         27188u, 27202u, 27218u, 27226u, 27232u, 27244u, 27254u, 27256u, 
+         27266u, 27274u, 27286u, 27296u, 27314u, 27322u, 27326u, 27328u, 
+         27332u, 27358u, 27364u, 27386u, 27392u, 27406u, 27416u, 27422u, 
+         27424u, 27452u, 27458u, 27466u, 27512u, 27518u, 27524u, 27542u, 
+         27548u, 27554u, 27562u, 27568u, 27578u, 27596u, 27598u, 27604u, 
+         27616u, 27634u, 27644u, 27652u, 27664u, 27694u, 27704u, 27706u, 
+         27716u, 27718u, 27722u, 27728u, 27746u, 27748u, 27752u, 27772u, 
+         27784u, 27788u, 27794u, 27802u, 27836u, 27842u, 27848u, 27872u, 
+         27884u, 27892u, 27928u, 27944u, 27946u, 27952u, 27956u, 27958u, 
+         27962u, 27968u, 27988u, 27994u, 28018u, 28022u, 28024u, 28028u, 
+         28046u, 28066u, 28072u, 28094u, 28102u, 28148u, 28166u, 28168u, 
+         28184u, 28204u, 28226u, 28228u, 28252u, 28274u, 28276u, 28292u, 
+         28316u, 28336u, 28352u, 28354u, 28358u, 28366u, 28376u, 28378u, 
+         28388u, 28402u, 28406u, 28414u, 28432u, 28436u, 28444u, 28448u, 
+         28462u, 28472u, 28474u, 28498u, 28514u, 28522u, 28528u, 28544u, 
+         28564u, 28574u, 28576u, 28582u, 28586u, 28616u, 28618u, 28634u, 
+         28666u, 28672u, 28684u, 28694u, 28718u, 28726u, 28738u, 28756u, 
+         28772u, 28774u, 28786u, 28792u, 28796u, 28808u, 28814u, 28816u, 
+         28844u, 28862u, 28864u, 28886u, 28892u, 28898u, 28904u, 28906u, 
+         28912u, 28928u, 28942u, 28948u, 28978u, 28994u, 28996u, 29006u, 
+         29008u, 29012u, 29024u, 29026u, 29038u, 29048u, 29062u, 29068u, 
+         29078u, 29086u, 29114u, 29116u, 29152u, 29158u, 29174u, 29188u, 
+         29192u, 29212u, 29236u, 29242u, 29246u, 29254u, 29258u, 29276u, 
+         29284u, 29288u, 29302u, 29306u, 29312u, 29314u, 29338u, 29354u, 
+         29368u, 29372u, 29398u, 29414u, 29416u, 29426u, 29458u, 29464u, 
+         29468u, 29474u, 29486u, 29492u, 29528u, 29536u, 29548u, 29552u, 
+         29554u, 29558u, 29566u, 29572u, 29576u, 29596u, 29608u, 29618u, 
+         29642u, 29654u, 29656u, 29668u, 29678u, 29684u, 29696u, 29698u, 
+         29704u, 29722u, 29726u, 29732u, 29738u, 29744u, 29752u, 29776u, 
+         29782u, 29792u, 29804u, 29834u, 29848u, 29858u, 29866u, 29878u, 
+         29884u, 29894u, 29906u, 29908u, 29926u, 29932u, 29936u, 29944u, 
+         29948u, 29972u, 29992u, 29996u, 30004u, 30014u, 30026u, 30034u, 
+         30046u, 30062u, 30068u, 30082u, 30086u, 30094u, 30098u, 30116u, 
+         30166u, 30172u, 30178u, 30182u, 30188u, 30196u, 30202u, 30212u, 
+         30238u, 30248u, 30254u, 30256u, 30266u, 30268u, 30278u, 30284u, 
+         30322u, 30334u, 30338u, 30346u, 30356u, 30376u, 30382u, 30388u, 
+         30394u, 30412u, 30422u, 30424u, 30436u, 30452u, 30454u, 30466u, 
+         30478u, 30482u, 30508u, 30518u, 30524u, 30544u, 30562u, 30602u, 
+         30614u, 30622u, 30632u, 30644u, 30646u, 30664u, 30676u, 30686u, 
+         30688u, 30698u, 30724u, 30728u, 30734u, 30746u, 30754u, 30758u, 
+         30788u, 30794u, 30796u, 30802u, 30818u, 30842u, 30866u, 30884u, 
+         30896u, 30908u, 30916u, 30922u, 30926u, 30934u, 30944u, 30952u, 
+         30958u, 30962u, 30982u, 30992u, 31018u, 31022u, 31046u, 31052u, 
+         31054u, 31066u, 31108u, 31126u, 31132u, 31136u, 31162u, 31168u, 
+         31196u, 31202u, 31204u, 31214u, 31222u, 31228u, 31234u, 31244u, 
+         31252u, 31262u, 31264u, 31286u, 31288u, 31292u, 31312u, 31316u, 
+         31322u, 31358u, 31372u, 31376u, 31396u, 31418u, 31424u, 31438u, 
+         31444u, 31454u, 31462u, 31466u, 31468u, 31472u, 31486u, 31504u, 
+         31538u, 31546u, 31568u, 31582u, 31592u, 31616u, 31622u, 31624u, 
+         31634u, 31636u, 31642u, 31652u, 31678u, 31696u, 31706u, 31724u, 
+         31748u, 31766u, 31768u, 31792u, 31832u, 31834u, 31838u, 31844u, 
+         31846u, 31852u, 31862u, 31888u, 31894u, 31906u, 31918u, 31924u, 
+         31928u, 31964u, 31966u, 31976u, 31988u, 32012u, 32014u, 32018u, 
+         32026u, 32036u, 32042u, 32044u, 32048u, 32072u, 32074u, 32078u, 
+         32114u, 32116u, 32138u, 32152u, 32176u, 32194u, 32236u, 32242u, 
+         32252u, 32254u, 32278u, 32294u, 32306u, 32308u, 32312u, 32314u, 
+         32324u, 32326u, 32336u, 32344u, 32348u, 32384u, 32392u, 32396u, 
+         32408u, 32426u, 32432u, 32438u, 32452u, 32474u, 32476u, 32482u, 
+         32506u, 32512u, 32522u, 32546u, 32566u, 32588u, 32594u, 32608u, 
+         32644u, 32672u, 32678u, 32686u, 32692u, 32716u, 32722u, 32734u, 
+         32762u, 32764u, 32782u, 32786u, 32788u, 32792u, 32812u, 32834u, 
+         32842u, 32852u, 32854u, 32872u, 32876u, 32884u, 32894u, 32908u, 
+         32918u, 32924u, 32932u, 32938u, 32944u, 32956u, 32972u, 32984u, 
+         32998u, 33008u, 33026u, 33028u, 33038u, 33062u, 33086u, 33092u, 
+         33104u, 33106u, 33128u, 33134u, 33154u, 33176u, 33178u, 33182u, 
+         33194u, 33196u, 33202u, 33238u, 33244u, 33266u, 33272u, 33274u, 
+         33302u, 33314u, 33332u, 33334u, 33338u, 33352u, 33358u, 33362u, 
+         33364u, 33374u, 33376u, 33392u, 33394u, 33404u, 33412u, 33418u, 
+         33428u, 33446u, 33458u, 33464u, 33478u, 33482u, 33488u, 33506u, 
+         33518u, 33544u, 33548u, 33554u, 33568u, 33574u, 33584u, 33596u, 
+         33598u, 33602u, 33604u, 33614u, 33638u, 33646u, 33656u, 33688u, 
+         33698u, 33706u, 33716u, 33722u, 33724u, 33742u, 33754u, 33782u, 
+         33812u, 33814u, 33832u, 33836u, 33842u, 33856u, 33862u, 33866u, 
+         33874u, 33896u, 33904u, 33934u, 33952u, 33962u, 33988u, 33992u, 
+         33994u, 34016u, 34024u, 34028u, 34036u, 34042u, 34046u, 34072u, 
+         34076u, 34088u, 34108u, 34126u, 34132u, 34144u, 34154u, 34172u, 
+         34174u, 34178u, 34184u, 34186u, 34198u, 34226u, 34232u, 34252u, 
+         34258u, 34274u, 34282u, 34288u, 34294u, 34298u, 34304u, 34324u, 
+         34336u, 34342u, 34346u, 34366u, 34372u, 34388u, 34394u, 34426u, 
+         34436u, 34454u, 34456u, 34468u, 34484u, 34508u, 34514u, 34522u, 
+         34534u, 34568u, 34574u, 34594u, 34616u, 34618u, 34634u, 34648u, 
+         34654u, 34658u, 34672u, 34678u, 34702u, 34732u, 34736u, 34744u, 
+         34756u, 34762u, 34778u, 34798u, 34808u, 34822u, 34826u, 34828u, 
+         34844u, 34856u, 34858u, 34868u, 34876u, 34882u, 34912u, 34924u, 
+         34934u, 34948u, 34958u, 34966u, 34976u, 34982u, 34984u, 34988u, 
+         35002u, 35012u, 35014u, 35024u, 35056u, 35074u, 35078u, 35086u, 
+         35114u, 35134u, 35138u, 35158u, 35164u, 35168u, 35198u, 35206u, 
+         35212u, 35234u, 35252u, 35264u, 35266u, 35276u, 35288u, 35294u, 
+         35312u, 35318u, 35372u, 35378u, 35392u, 35396u, 35402u, 35408u, 
+         35422u, 35446u, 35452u, 35464u, 35474u, 35486u, 35492u, 35516u, 
+         35528u, 35546u, 35554u, 35572u, 35576u, 35578u, 35582u, 35584u, 
+         35606u, 35614u, 35624u, 35626u, 35638u, 35648u, 35662u, 35668u, 
+         35672u, 35674u, 35686u, 35732u, 35738u, 35744u, 35746u, 35752u, 
+         35758u, 35788u, 35798u, 35806u, 35812u, 35824u, 35828u, 35842u, 
+         35848u, 35864u, 35876u, 35884u, 35894u, 35914u, 35932u, 35942u, 
+         35948u, 35954u, 35966u, 35968u, 35978u, 35992u, 35996u, 35998u, 
+         36002u, 36026u, 36038u, 36046u, 36064u, 36068u, 36076u, 36092u, 
+         36106u, 36118u, 36128u, 36146u, 36158u, 36166u, 36184u, 36188u, 
+         36202u, 36206u, 36212u, 36214u, 36236u, 36254u, 36262u, 36272u, 
+         36298u, 36302u, 36304u, 36328u, 36334u, 36338u, 36344u, 36356u, 
+         36382u, 36386u, 36394u, 36404u, 36422u, 36428u, 36442u, 36452u, 
+         36464u, 36466u, 36478u, 36484u, 36488u, 36496u, 36508u, 36524u, 
+         36526u, 36536u, 36542u, 36544u, 36566u, 36568u, 36572u, 36586u, 
+         36604u, 36614u, 36626u, 36646u, 36656u, 36662u, 36664u, 36668u, 
+         36682u, 36694u, 36698u, 36706u, 36716u, 36718u, 36724u, 36758u, 
+         36764u, 36766u, 36782u, 36794u, 36802u, 36824u, 36832u, 36862u, 
+         36872u, 36874u, 36898u, 36902u, 36916u, 36926u, 36946u, 36962u, 
+         36964u, 36968u, 36988u, 36998u, 37004u, 37012u, 37016u, 37024u, 
+         37028u, 37052u, 37058u, 37072u, 37076u, 37108u, 37112u, 37118u, 
+         37132u, 37138u, 37142u, 37144u, 37166u, 37226u, 37228u, 37234u, 
+         37258u, 37262u, 37276u, 37294u, 37306u, 37324u, 37336u, 37342u, 
+         37346u, 37376u, 37378u, 37394u, 37396u, 37418u, 37432u, 37448u, 
+         37466u, 37472u, 37508u, 37514u, 37532u, 37534u, 37544u, 37552u, 
+         37556u, 37558u, 37564u, 37588u, 37606u, 37636u, 37642u, 37648u, 
+         37682u, 37696u, 37702u, 37754u, 37756u, 37772u, 37784u, 37798u, 
+         37814u, 37822u, 37852u, 37856u, 37858u, 37864u, 37874u, 37886u, 
+         37888u, 37916u, 37922u, 37936u, 37948u, 37976u, 37994u, 38014u, 
+         38018u, 38026u, 38032u, 38038u, 38042u, 38048u, 38056u, 38078u, 
+         38084u, 38108u, 38116u, 38122u, 38134u, 38146u, 38152u, 38164u, 
+         38168u, 38188u, 38234u, 38252u, 38266u, 38276u, 38278u, 38302u, 
+         38306u, 38308u, 38332u, 38354u, 38368u, 38378u, 38384u, 38416u, 
+         38428u, 38432u, 38434u, 38444u, 38446u, 38456u, 38458u, 38462u, 
+         38468u, 38474u, 38486u, 38498u, 38512u, 38518u, 38524u, 38552u, 
+         38554u, 38572u, 38578u, 38584u, 38588u, 38612u, 38614u, 38626u, 
+         38638u, 38644u, 38648u, 38672u, 38696u, 38698u, 38704u, 38708u, 
+         38746u, 38752u, 38762u, 38774u, 38776u, 38788u, 38792u, 38812u, 
+         38834u, 38846u, 38848u, 38858u, 38864u, 38882u, 38924u, 38936u, 
+         38938u, 38944u, 38956u, 38978u, 38992u, 39002u, 39008u, 39014u, 
+         39016u, 39026u, 39044u, 39058u, 39062u, 39088u, 39104u, 39116u, 
+         39124u, 39142u, 39146u, 39148u, 39158u, 39166u, 39172u, 39176u, 
+         39182u, 39188u, 39194u
+      };
+
+      if(n <= b1)
+         return a1[n];
+      if(n <= b2)
+         return a2[n - b1 - 1];
+      if(n >= b3)
+      {
+         return boost::math::policies::raise_domain_error<boost::uint32_t>(
+            "boost::math::prime<%1%>", "Argument n out of range: got %1%", n, pol);
+      }
+      return static_cast<boost::uint32_t>(a3[n - b2 - 1]) + 0xFFFFu;
+   }
+
+   inline boost::uint32_t prime(unsigned n)
+   {
+      return boost::math::prime(n, boost::math::policies::policy<>());
+   }
+
+   static const unsigned max_prime = 10000;
+
+}} // namespace boost and math