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(10^3-1)/9 + 8*10^1 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(19*10^3-91)/99 N=191 *** N is prime! Time: 0 sec
(10^9-1)/9 + 8*10^4 == ID:B2814046DE224 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 111191111 Decimal size = 9 Binary size = 27 ----------------------------------------------------------------- 1) SPP Test ----------------------------------------------------------------- N = Candidate Started 11/02/2002 08:38:30 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.
(10^53-1)/9 + 8*10^26 == ID:B2814046CACF6 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 11111111111111111111111111911111111111111111111111111 Decimal size = 53 Binary size = 173 Started 11/02/2002 08:37:11 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.
(10^375-1)/9 + 8*10^187 == ID:B2814041168D2 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 111111191111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 111111111111111 Decimal size = 375 Binary size = 1243 Started 11/02/2002 06:57:29 PM Running time 1mn 41s Candidate certified prime ================================================================= Proved prime with 'Primo 1.2.1' by Patrick De Geest using a Pentium III 650 MHz chip.
(10^453-1)/9 + 8*10^226 == ID:B280B00BAF28E ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111191111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111 Decimal size = 453 Binary size = 1502 Started 10/24/2002 03:24:11 AM Running time 4mn 14s Candidate certified prime ================================================================= Proved prime with 'Primo 1.2.1' by Patrick De Geest using a Pentium III 650 MHz chip.
(10^1749-1)/9 + 8*10^874 [PRIMO - Primality Certificate] Version=2.0.0 - beta 3 - (1)874 9 (1)874 Format=2 ID=B27F5003D3A92 Created=10/02/2002 01:06:52 AM TestCount=264 Status=Candidate certified prime [Running Times] Initialization=6.86s 1stPhase=12h 11mn 10s 2ndPhase=1h 2mn 44s Total=13h 14mn 1s Proved prime with 'Primo 2.0.0 - beta 3' by Jeff Heleen using a 1.33 GHz Athlon chip. The file "Primo-B27F5003D3A92-001.out" is 514 KB and is available on demand by simple email request.
(10^26619-1)/9 + 8*10^13309