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(10^3-1)/9 + 4*10^1 *** 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
(10^15-1)/9 + 4*10^7 == ID:B2813039515A2 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 111111151111111 Decimal size = 15 Binary size = 47 ----------------------------------------------------------------- 1) SPP Test ----------------------------------------------------------------- N = Candidate Started 11/01/2002 04:41:42 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.
(10^91-1)/9 + 4*10^45 == ID:B281303930B36 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 111111111111111111111111111111111111111111111511111111111111\ 1111111111111111111111111111111 Decimal size = 91 Binary size = 300 Started 11/01/2002 04:39:28 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.
(10^231-1)/9 + 4*10^115 == ID:B281303901642 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111151111\ 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111 Decimal size = 231 Binary size = 765 Started 11/01/2002 04:36:14 PM Running time 14s Candidate certified prime ================================================================= Proved prime with 'Primo 1.2.1' by Patrick De Geest using a Pentium III 650 MHz chip.
(10^1363-1)/9 + 4*10^681 == ID:B27F104B67408 ============================================= PRIMO 1.2.1 - Primality Certificate - (1)681 5(1)681 Started 09/28/2002 09:57:46 PM Running time 2h 56mn 4s Candidate certified prime ================================================================= Proved prime with 'Primo 1.2.1' by Jeff Heleen using a 1.33 GHz Athlon chip. The file "Primo-B27F104B67408.out" is 422 KB and is available on demand by simple email request.
(10^2497-1)/9 + 4*10^1248 [PRIMO - Primality Certificate] Version=2.0.0 - beta 3 - (1)1248 5 (1)1248 Format=2 ID=B27FA017D523E Created=10/07/2002 06:56:30 AM TestCount=388 Status=Candidate certified prime [Running Times] Initialization=14.06s 1stPhase=49h 22mn 37s 2ndPhase=4h 1mn 10s Total=53h 24mn 2s Proved prime with 'Primo 2.0.0 - beta 3' by Jeff Heleen using a 1.33 GHz Athlon chip. The file "Primo-B27FA017D523E.out" is 1072 KB and is available on demand by simple email request.
(10^4963-1)/9 + 4*10^2481
(10^5379-1)/9 + 4*10^2689
(10^12397-1)/9 + 4*10^6198
(10^26395-1)/9 + 4*10^13197