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5*(10^3-1)/9 - 4*(10^2+1) *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(15*10^3-51)/99 N=151 *** N is prime! Time: 0 sec
5*(10^5-1)/9 - 4*(10^4+1) run"aprt-cle Test number N=? 15551 Preparatory test Pass ! 15551 is prime. 0:00:00 OK Proved prime with 'Ubasic - APRT-CLE.UB' by Patrick De Geest using a Pentium III 650 MHz chip.
5*(10^21-1)/9 - 4*(10^20+1) == ID:B286400C4F9AA ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 155555555555555555551 Decimal size = 21 Binary size = 68 ----------------------------------------------------------------- 1) N+1 Test ----------------------------------------------------------------- N = Candidate S = 608 R = 255847953216374269 Q = 3 ----------------------------------------------------------------- 2) N-1 Test ----------------------------------------------------------------- N = R of preceding test S = 363612 R = 703629014489 B = 2 ----------------------------------------------------------------- 3) SPP Test ----------------------------------------------------------------- N = R of preceding test Started 01/21/2003 03:35:09 AM Running time < 1s Candidate certified prime ================================================================= Proved prime with 'Primo 1.2.1' by Patrick De Geest using a Pentium III 650 MHz chip.
5*(10^33-1)/9 - 4*(10^32+1) == ID:B286501069DA6 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 155555555555555555555555555555551 Decimal size = 33 Binary size = 107 ----------------------------------------------------------------- 1) N+1 Test ----------------------------------------------------------------- N = Candidate S = 295648 R = 526151218866880735048285649 Q = 3 ----------------------------------------------------------------- 2) EC Test ----------------------------------------------------------------- N = R of preceding test S = 16420 R = 32043314181907603710397 A = 2 B = 0 T = 4 ----------------------------------------------------------------- 3) N-1 Test ----------------------------------------------------------------- N = R of preceding test S = 34884 R = 918567658006753919 B = 2 ----------------------------------------------------------------- 4) N-1 Test ----------------------------------------------------------------- N = R of preceding test S = 17398 R = 52797313369741 B = 2 ----------------------------------------------------------------- 5) SPP Test ----------------------------------------------------------------- N = R of preceding test Started 01/22/2003 04:46:50 AM Running time < 1s Candidate certified prime ================================================================= Proved prime with 'Primo 1.2.1' by Patrick De Geest using a Pentium III 650 MHz chip.
5*(10^401-1)/9 - 4*(10^400+1) == ID:B286A03C9A1DC ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 155555555555555555555555555555555555555555555555555555555555\ 555555555555555555555555555555555555555555555555555555555555\ 555555555555555555555555555555555555555555555555555555555555\ 555555555555555555555555555555555555555555555555555555555555\ 555555555555555555555555555555555555555555555555555555555555\ 555555555555555555555555555555555555555555555555555555555555\ 55555555555555555555555555555555555555551 Decimal size = 401 Binary size = 1330 Started 01/27/2003 05:39:05 PM Running time 4mn 25s Candidate certified prime ================================================================= Proved prime with 'Primo 1.2.1' by Patrick De Geest using a Pentium III 650 MHz chip.
5*(10^563-1)/9 - 4*(10^562+1) == ID:B286C03B4CFBE ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 155555555555555555555555555555555555555555555555555555555555\ 555555555555555555555555555555555555555555555555555555555555\ 555555555555555555555555555555555555555555555555555555555555\ 555555555555555555555555555555555555555555555555555555555555\ 555555555555555555555555555555555555555555555555555555555555\ 555555555555555555555555555555555555555555555555555555555555\ 555555555555555555555555555555555555555555555555555555555555\ 555555555555555555555555555555555555555555555555555555555555\ 555555555555555555555555555555555555555555555555555555555555\ 55555555555555555555551 Decimal size = 563 Binary size = 1868 Started 01/29/2003 05:16:21 PM Running time 12mn 54s Candidate certified prime ================================================================= Proved prime with 'Primo 1.2.1' by Patrick De Geest using a Pentium III 650 MHz chip.
5*(10^7017-1)/9 - 4*(10^7016+1)
5*(10^37685-1)/9 - 4*(10^37684+1) 3-PRP!