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(10^3-1)/3 + 4*10^1 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(37*10^3-73)/99 N=373 *** N is prime! Time: 0 sec
(10^7-1)/3 + 4*10^3 == ID:B2814000E4606 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 3337333 Decimal size = 7 Binary size = 22 ----------------------------------------------------------------- 1) SPP Test ----------------------------------------------------------------- N = Candidate Started 11/02/2002 12:15:35 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.
(10^15-1)/3 + 4*10^7 == ID:B2814000CCEFC ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 333333373333333 Decimal size = 15 Binary size = 49 Started 11/02/2002 12:13:59 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.
(10^23-1)/3 + 4*10^11 == ID:B2814000B9406 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 33333333333733333333333 Decimal size = 23 Binary size = 75 Started 11/02/2002 12:12:38 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.
(10^27-1)/3 + 4*10^13 == ID:B2814000A529E ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 333333333333373333333333333 Decimal size = 27 Binary size = 89 Started 11/02/2002 12:11:16 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.
(10^35-1)/3 + 4*10^17 == ID:B28140008B376 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 33333333333333333733333333333333333 Decimal size = 35 Binary size = 115 Started 11/02/2002 12:09:30 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.
(10^59-1)/3 + 4*10^29 == ID:B281400071070 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 33333333333333333333333333333733333333333333333333333333333 Decimal size = 59 Binary size = 195 Started 11/02/2002 12:07:42 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.
(10^63-1)/3 + 4*10^31 == ID:B281400050A50 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 333333333333333333333333333333373333333333333333333333333333\ 333 Decimal size = 63 Binary size = 208 Started 11/02/2002 12:05:30 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.
(10^67-1)/3 + 4*10^33 == ID:B28140003271C ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 333333333333333333333333333333333733333333333333333333333333\ 3333333 Decimal size = 67 Binary size = 221 Started 11/02/2002 12:03:26 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.
(10^155-1)/3 + 4*10^77 == ID:B2814000159D2 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 333333333333333333333333333333333333333333333333333333333333\ 333333333333333337333333333333333333333333333333333333333333\ 33333333333333333333333333333333333 Decimal size = 155 Binary size = 514 Started 11/02/2002 12:01:28 AM Running time 3s Candidate certified prime ================================================================= Proved prime with 'Primo 1.2.1' by Patrick De Geest using a Pentium III 650 MHz chip.
(10^1867-1)/3 + 4*10^933 [PRIMO - Primality Certificate] Version=2.0.0 - beta 3 - (3)933 7 (3)933 Format=2 ID=B27F302916C46 Created=09/30/2002 11:58:04 AM TestCount=259 Status=Candidate certified prime [Running Times] Initialization=6.36s 1stPhase=14h 32mn 6s 2ndPhase=1h 1mn 6s Total=15h 33mn 19s Proved prime with 'Primo 2.0.0 - beta 3' by Jeff Heleen using a 1.33 GHz Athlon chip. The file "Primo-B27F302916C46-001.out" is 516KB and is available on demand by simple email request.
(10^3111-1)/3 + 4*10^1555 Darren Bedwell used Primo to prove this PWP prime. The certificates are posted to my weblog : Blog: Zero Sink Post: Primo Certificate for (10^3111-1)/3+4*10^1555 Link: http://zerosink.blogspot.com/2010/09/primo-certificate-for-103111-134101555.html [PRIMO - Primality Certificate] Version=3.0.9 WebSite=http://www.ellipsa.eu/ Format=3 ID=B3353030A2DD5 Created=09/20/2010 02:10:11 PM TestCount=446 Status=Candidate certified prime [Comments] Write any comment here [Running Times] Initialization=13.01s 1stPhase=29h 45mn 35s 2ndPhase=11h 10mn 54s Total=40h 56mn 43s [Candidate] File=C:\Documents and Settings\dbedwell\Desktop\primes\primo\work\pwps.in Expression=(10^3111-1)/3+4*10^1555 N$=1E8E1A32196AE5B89AF99B6F32B2F2... HexadecimalSize=2584 DecimalSize=3111 BinarySize=10333
(10^23517-1)/3 + 4*10^11758