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7*(10^3-1)/9 + 2*10^1 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(79*10^3-97)/99 N=797 *** N is prime! Time: 0 sec
7*(10^5-1)/9 + 2*10^2 == ID:B2814047613CC ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 77977 Decimal size = 5 Binary size = 17 ----------------------------------------------------------------- 1) SPP Test ----------------------------------------------------------------- N = Candidate Started 11/02/2002 08:47:27 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.
7*(10^17-1)/9 + 2*10^8 == ID:B28140474E880 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 77777777977777777 Decimal size = 17 Binary size = 57 Started 11/02/2002 08:46:10 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.
7*(10^39-1)/9 + 2*10^19 == ID:B28140473B1A4 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 777777777777777777797777777777777777777 Decimal size = 39 Binary size = 130 Started 11/02/2002 08:44:50 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.
7*(10^41-1)/9 + 2*10^20 == ID:B281404728540 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 77777777777777777777977777777777777777777 Decimal size = 41 Binary size = 136 Started 11/02/2002 08:43:34 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.
7*(10^425-1)/9 + 2*10^212 == ID:B280B00C2D134 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 777777777777777777777777777777777777777777777777777777777777\ 777777777777777777777777777777777777777777777777777777777777\ 777777777777777777777777777777777777777777777777777777777777\ 777777777777777777777777777777779777777777777777777777777777\ 777777777777777777777777777777777777777777777777777777777777\ 777777777777777777777777777777777777777777777777777777777777\ 777777777777777777777777777777777777777777777777777777777777\ 77777 Decimal size = 425 Binary size = 1412 Started 10/24/2002 03:32:47 AM Running time 2mn 2s Candidate certified prime ================================================================= Proved prime with 'Primo 1.2.1' by Patrick De Geest using a Pentium III 650 MHz chip.
7*(10^561-1)/9 + 2*10^280 == ID:B28090326197C ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 777777777777777777777777777777777777777777777777777777777777\ 777777777777777777777777777777777777777777777777777777777777\ 777777777777777777777777777777777777777777777777777777777777\ 777777777777777777777777777777777777777777777777777777777777\ 777777777777777777777777777777777777777797777777777777777777\ 777777777777777777777777777777777777777777777777777777777777\ 777777777777777777777777777777777777777777777777777777777777\ 777777777777777777777777777777777777777777777777777777777777\ 777777777777777777777777777777777777777777777777777777777777\ 777777777777777777777 Decimal size = 561 Binary size = 1864 Started 10/22/2002 02:40:28 PM Running time 9mn 6s Candidate certified prime ================================================================= Proved prime with 'Primo 1.2.1' by Patrick De Geest using a Pentium III 650 MHz chip.
7*(10^1775-1)/9 + 2*10^887 [PRIMO - Primality Certificate] Version=2.0.0 - beta 3 - (7)887 9 (7)887 Format=2 ID=B27F503176FE4 Created=10/02/2002 02:24:27 PM TestCount=247 Status=Candidate certified prime [Running Times] Initialization=5.69s 1stPhase=11h 23mn 33s 2ndPhase=1h 0mn 50s Total=12h 24mn 29s Proved prime with 'Primo 2.0.0 - beta 3' by Jeff Heleen using a 1.33 GHz Athlon chip. The file "Primo-B27F503176FE4-001.out" is 476 KB and is available on demand by simple email request.
7*(10^2043-1)/9 + 2*10^1021 [PRIMO - Primality Certificate] Version=2.0.0 - beta 3 - (7)1021 9 (7)1021 Format=2 ID=B27F600B2935A Created=10/03/2002 03:15:03 AM TestCount=314 Status=Candidate certified prime [Running Times] Initialization=8.17s 1stPhase=19h 10mn 14s 2ndPhase=1h 57mn 17s Total=21h 7mn 40s Proved prime with 'Primo 2.0.0 - beta 3' by Jeff Heleen using a 1.33 GHz Athlon chip. The file "Primo-B27F600B2935A-001.out" is 700 KB and is available on demand by simple email request.
7*(10^11031-1)/9 + 2*10^5515
7*(10^16233-1)/9 + 2*10^8116
7*(10^23705-1)/9 + 2*10^11852