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(10^3-1) - 7*10^1 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(92*10^3-29)/99 N=929 *** N is prime! Time: 0 sec
(10^17-1) - 7*10^8 == ID:B280D035A5DE0 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 99999999299999999 Decimal size = 17 Binary size = 57 Started 10/26/2002 03:37:33 PM Running time < 1s Candidate certified prime ================================================================= Proved prime with 'Primo 1.2.1' by Patrick De Geest using a Pentium III 650 MHz chip.
(10^19-1) - 7*10^9 == ID:B280D03590094 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 9999999992999999999 Decimal size = 19 Binary size = 64 Started 10/26/2002 03:36:04 PM Running time < 1s Candidate certified prime ================================================================= Proved prime with 'Primo 1.2.1' by Patrick De Geest using a Pentium III 650 MHz chip.
(10^705-1) - 7*10^352 [PRIMO - Primality Certificate] Version=2.0.0 - beta 3 Format=2 ID=B280903020082 Created=10/22/2002 02:01:02 PM TestCount=99 Status=Candidate certified prime [Candidate] File=C:\Program Files\Primo200\pwp929_705.in Expression=(10^705-1) - 7*10^352 N$=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 HexadecimalSize=586 DecimalSize=705 BinarySize=2342 [Running Times] Initialization=1.58s 1stPhase=26mn 25s 2ndPhase=3mn 24s Total=29mn 52s Proved prime with 'Primo 2.0.0 - beta 3' by Patrick De Geest using a Pentium III 650 MHz chip.
(10^1061-1) - 7*10^530 == ID:B27F004FA4CB4 ============================================= PRIMO 1.2.1 - Primality Certificate - (9)530 2 (9)530 Started 09/27/2002 11:11:52 PM Running time 1h 5mn 8s Candidate certified prime ================================================================= Proved prime with 'Primo 1.2.1' by Jeff Heleen using a 1.33 GHz Athlon chip. The file "Primo-B27F004FA4CB4.out" is 277 KB and is available on demand by simple email request.
(10^1395-1) - 7*10^697 == ID:B27F101D158DE ============================================= PRIMO 1.2.1 - Primality Certificate - (9)697 2 (9)697 Started 09/28/2002 08:28:16 AM Running time 5h 35mn 7s Candidate certified prime ================================================================= Proved prime with 'Primo 1.2.1' by Jeff Heleen using a 1.33 GHz Athlon chip. The file "Primo-B27F101D158DE.out" is 491 KB and is available on demand by simple email request.
(10^2631-1) - 7*10^1315 C:\PrimeForm>pfgw -q10^2631-7*10^1315-1 -tp PFGW Version 20010212.Win_Dev (Beta software, 'caveat utilitor') Primality testing 10^2631-7*10^1315-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 11, base 1+sqrt(11) Calling Brillhart-Lehmer-Selfridge with factored part 34.94% 10^2631-7*10^1315-1 is prime! (12.460000 seconds) (Timing using a Pentium III 650 Mhz chip).
(10^3837-1) - 7*10^1918 C:\PrimeForm>pfgw -q10^3837-7*10^1918-1 -tp PFGW Version 20010212.Win_Dev (Beta software, 'caveat utilitor') Primality testing 10^3837-7*10^1918-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 17, base 1+sqrt(17) Calling Brillhart-Lehmer-Selfridge with factored part 34.94% 10^3837-7*10^1918-1 is prime! (25.810000 seconds) (Timing using a Pentium III 650 Mhz chip).
(10^5749-1) - 7*10^2874 C:\PrimeForm>pfgw -q10^5749-7*10^2874-1 -tp PFGW Version 20010212.Win_Dev (Beta software, 'caveat utilitor') Primality testing 10^5749-7*10^2874-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 7, base 1+sqrt(7) Running N+1 test using discriminant 7, base 2+sqrt(7) Calling Brillhart-Lehmer-Selfridge with factored part 34.94% 10^5749-7*10^2874-1 is prime! (109.030000 seconds) (Timing using a Pentium III 650 Mhz chip).
(10^11753-1) - 7*10^5876 C:\PrimeForm>pfgw -q10^11753-7*10^5876-1 -tp PFGW Version 20010212.Win_Dev (Beta software, 'caveat utilitor') Primality testing 10^11753-7*10^5876-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 7, base 1+sqrt(7) Running N+1 test using discriminant 7, base 2+sqrt(7) Calling Brillhart-Lehmer-Selfridge with factored part 34.94% 10^11753-7*10^5876-1 is prime! (547.280000 seconds) (Timing using a Pentium III 650 Mhz chip).
(10^13537-1) - 7*10^6768 C:\PrimeForm>pfgw -q10^13537-7*10^6768-1 -tp PFGW Version 20010212.Win_Dev (Beta software, 'caveat utilitor') Primality testing 10^13537-7*10^6768-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 7, base 1+sqrt(7) Calling Brillhart-Lehmer-Selfridge with factored part 34.94% 10^13537-7*10^6768-1 is prime! (482.410000 seconds) (Timing using a Pentium III 650 Mhz chip).
10^125877-7*10^62938-1) by Darren Bedwell http://zerosink.blogspot.com/ Primality testing 10^(2*62938+1)-7*10^62938-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 19, base 1+sqrt(19) Calling Brillhart-Lehmer-Selfridge with factored part 34.95% 10^(2*62938+1)-7*10^62938-1 is prime! (4195.7527s+0.0051s)
10^269479-7*10^134739-1) by Darren Bedwell http://primes.utm.edu/primes/page.php?id=105258