GP/PARI CALCULATOR Version 2.2.10 (alpha) i686 running linux (ix86/GMP-4.1.4 kernel) 32-bit version compiled: Sep 15 2005, gcc-3.3.2 20031022 (Red Hat Linux 3.3.2-1) (readline v4.3 enabled, extended help not available) Copyright (C) 2000-2005 The PARI Group PARI/GP is free software, covered by the GNU General Public License, and comes WITHOUT ANY WARRANTY WHATSOEVER. Type ? for help, \q to quit. Type ?12 for how to get moral (and possibly technical) support. parisize = 64000000, primelimit = 500000 Testing a PRP called "Phi_3821_2963". LLL[1, 1] with [h, u]=[5, 1] has norm/bound=4.436400008 E-688 and witness=5. LLL[2, 1] with [h, u]=[5, 1] has norm/bound=0.3729775135 and witness=7. LLL[3, 1] with [h, u]=[4, 1] has norm/bound=1.057259594 E-99 and witness=3. LLL[4, 1] with [h, u]=[7, 2] has norm/bound=3.839587174 E-66 and witness=47. LLL[5, 1] with [h, u]=[7, 2] has norm/bound=0.2931494234 and witness=2. LLL[6, 1] with [h, u]=[7, 2] has norm/bound=0.2780876639 and witness=7. LLL[7, 1] with [h, u]=[7, 2] has norm/bound=0.2907265962 and witness=3. LLL[8, 1] with [h, u]=[7, 2] has norm/bound=0.3190416871 and witness=3. LLL[9, 1] with [h, u]=[7, 2] has norm/bound=0.2562215346 and witness=5. LLL[10, 1] with [h, u]=[9, 3] has norm/bound=1.535379507 E-55 and witness=29. LLL[11, 1] with [h, u]=[9, 3] has norm/bound=4.934553068 E-14 and witness=11. LLL[12, 1] with [h, u]=[9, 3] has norm/bound=0.2141565823 and witness=37. LLL[13, 1] with [h, u]=[9, 3] has norm/bound=0.2258375512 and witness=2. LLL[14, 1] with [h, u]=[9, 3] has norm/bound=0.2160944726 and witness=61. LLL[15, 1] with [h, u]=[9, 3] has norm/bound=0.1779331924 and witness=5. LLL[16, 1] with [h, u]=[9, 3] has norm/bound=0.2458638097 and witness=13. LLL[17, 1] with [h, u]=[11, 4] has norm/bound=3.951949925 E-24 and witness=2. LLL[18, 1] with [h, u]=[11, 4] has norm/bound=0.1879600406 and witness=11. LLL[19, 1] with [h, u]=[11, 4] has norm/bound=0.2106108764 and witness=13. LLL[20, 1] with [h, u]=[11, 4] has norm/bound=0.1761235534 and witness=101. LLL[21, 1] with [h, u]=[11, 4] has norm/bound=0.1929548615 and witness=83. LLL[22, 1] with [h, u]=[11, 4] has norm/bound=0.1707713333 and witness=31. LLL[23, 1] with [h, u]=[11, 4] has norm/bound=0.1928274294 and witness=71. LLL[24, 1] with [h, u]=[11, 4] has norm/bound=0.1568574031 and witness=17. LLL[25, 1] with [h, u]=[13, 5] has norm/bound=0.1266733356 and witness=61. LLL[26, 1] with [h, u]=[13, 5] has norm/bound=0.1193527275 and witness=47. LLL[27, 1] with [h, u]=[13, 5] has norm/bound=0.1420230977 and witness=79. LLL[28, 1] with [h, u]=[13, 5] has norm/bound=0.1150697941 and witness=59. LLL[29, 1] with [h, u]=[13, 5] has norm/bound=0.1266531634 and witness=101. LLL[30, 1] with [h, u]=[13, 5] has norm/bound=0.1074611888 and witness=47. LLL[31, 1] with [h, u]=[13, 5] has norm/bound=0.1172410057 and witness=3. LLL[32, 1] with [h, u]=[13, 5] has norm/bound=0.1195326339 and witness=23. LLL[33, 1] with [h, u]=[13, 5] has norm/bound=0.1334955721 and witness=7. LLL[34, 1] with [h, u]=[13, 5] has norm/bound=0.1248777288 and witness=349. LLL[35, 1] with [h, u]=[13, 5] has norm/bound=0.1276266609 and witness=3. LLL[36, 1] with [h, u]=[13, 5] has norm/bound=0.1252424612 and witness=3. LLL[37, 1] with [h, u]=[15, 6] has norm/bound=0.1006357336 and witness=2. LLL[38, 1] with [h, u]=[15, 6] has norm/bound=0.0946684291 and witness=2. LLL[39, 1] with [h, u]=[15, 6] has norm/bound=0.1040232139 and witness=107. LLL[40, 1] with [h, u]=[15, 6] has norm/bound=0.0993742563 and witness=37. LLL[41, 1] with [h, u]=[15, 6] has norm/bound=0.0970848877 and witness=2. LLL[42, 1] with [h, u]=[15, 6] has norm/bound=0.1022023459 and witness=43. LLL[43, 1] with [h, u]=[15, 6] has norm/bound=0.0920833767 and witness=47. LLL[44, 1] with [h, u]=[16, 7] has norm/bound=0.0777008415 and witness=3. LLL[45, 1] with [h, u]=[16, 7] has norm/bound=0.0807295906 and witness=31. LLL[46, 1] with [h, u]=[16, 7] has norm/bound=7.41270031 E-16 and witness=41. Validated in 33 sec. Goodbye!