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8*(10^3-1)/9 - 7*(10^2+1) *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(18*10^3-81)/99 N=181 *** N is prime! Time: 0 sec
8*(10^9-1)/9 - 7*(10^8+1) run"aprt-cle Test number N=? 188888881 Preparatory test Pass ! 188888881 is prime. 0:00:00 OK Proved prime with 'Ubasic - APRT-CLE.UB' by Patrick De Geest using a Pentium III 650 MHz chip.
8*(10^15-1)/9 - 7*(10^14+1) == ID:B286400A5C15C ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 188888888888881 Decimal size = 15 Binary size = 48 ----------------------------------------------------------------- 1) SPP Test ----------------------------------------------------------------- N = Candidate Started 01/21/2003 03:01:02 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.
8*(10^41-1)/9 - 7*(10^40+1) == ID:B2865010F458C ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 18888888888888888888888888888888888888881 Decimal size = 41 Binary size = 134 ----------------------------------------------------------------- 1) N+1 Test ----------------------------------------------------------------- N = Candidate S = 2519046 R = 7498429520099628545444937841106867 Q = 13 ----------------------------------------------------------------- 2) EC Test ----------------------------------------------------------------- N = R of preceding test S = 13803196158392 R = 543238640823108922297 A =-35 B =-98 T = 0 ----------------------------------------------------------------- 3) EC Test ----------------------------------------------------------------- N = R of preceding test S = 1280704 R = 424171893582667 A = 0 B = 10 T = 1 ----------------------------------------------------------------- 4) N-1 Test ----------------------------------------------------------------- N = R of preceding test S = 266022 R = 1594499303 B = 2 ----------------------------------------------------------------- 5) SPP Test ----------------------------------------------------------------- N = R of preceding test Started 01/22/2003 04:56:18 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.
8*(10^93-1)/9 - 7*(10^92+1) == ID:B28690089A954 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 188888888888888888888888888888888888888888888888888888888888\ 888888888888888888888888888888881 Decimal size = 93 Binary size = 307 Started 01/26/2003 02:30:21 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.
8*(10^129-1)/9 - 7*(10^128+1) == ID:B286903730336 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 188888888888888888888888888888888888888888888888888888888888\ 888888888888888888888888888888888888888888888888888888888888\ 888888881 Decimal size = 129 Binary size = 427 Started 01/26/2003 04:04:29 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.
8*(10^885-1)/9 - 7*(10^884+1) [PRIMO - Primality Certificate] Version=2.0.0 - beta 3 Format=2 ID=B286E039FE072 Created=01/31/2003 04:53:29 PM TestCount=130 Status=Candidate certified prime [Candidate] File=C:\Program Files\Primo200\pdp181_885.in Expression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exadecimalSize=735 DecimalSize=885 BinarySize=2938 [Running Times] Initialization=2.50s 1stPhase=58mn 7s 2ndPhase=8mn 32s Total=1h 6mn 42s Proved prime with 'Primo 2.0.0 - beta 3' by Patrick De Geest using a Pentium III 650 MHz chip.
8*(10^9425-1)/9 - 7*(10^9424+1) 3-PRP!
8*(10^14769-1)/9 - 7*(10^14768+1) 3-PRP!
8*(10^19259-1)/9 - 7*(10^19258+1) 3-PRP!
8*(10^31235-1)/9 - 7*(10^31234+1) PRP to base 3,5,7. PFGW Version 20040816.Win_Stable (v1.2 RC1a) [FFT v23.8]