8*(10^7-1)/9 + (10^6+1) run"aprt-cle Test number N=? 9888889 Preparatory test Pass ! 9888889 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*(10^73-1)/9 + (10^72+1) == ID:B28690072192E ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 988888888888888888888888888888888888888888888888888888888888\ 8888888888889 Decimal size = 73 Binary size = 243 Started 01/26/2003 02:04:37 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*(10^97-1)/9 + (10^96+1) == ID:B286900921A4E ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 988888888888888888888888888888888888888888888888888888888888\ 8888888888888888888888888888888888889 Decimal size = 97 Binary size = 323 Started 01/26/2003 02:39:34 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*(10^115-1)/9 + (10^114+1) == ID:B286903549DCE ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 988888888888888888888888888888888888888888888888888888888888\ 8888888888888888888888888888888888888888888888888888889 Decimal size = 115 Binary size = 383 Started 01/26/2003 03:31:17 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*(10^205-1)/9 + (10^204+1) == ID:B286905243F4C ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 988888888888888888888888888888888888888888888888888888888888\ 888888888888888888888888888888888888888888888888888888888888\ 888888888888888888888888888888888888888888888888888888888888\ 8888888888888888888888889 Decimal size = 205 Binary size = 681 Started 01/26/2003 11:57:41 PM Running time 10s Candidate certified prime ================================================================= Proved prime with 'Primo 1.2.1' by Patrick De Geest using a Pentium III 650 MHz chip.
8*(10^985-1)/9 + (10^984+1) [PRIMO - Primality Certificate] Version=2.0.0 - beta 3 Format=2 ID=B286F040DEDC4 Created=02/01/2003 06:53:41 PM TestCount=166 Status=Candidate certified prime [Candidate] File=C:\Program Files\Primo200\pdp989_985.in Expression=8*(10^985-1)/9 + (10^(983+1)+1) N\$=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 HexadecimalSize=819 DecimalSize=985 BinarySize=3273 [Running Times] Initialization=3.43s 1stPhase=2h 18mn 12s 2ndPhase=16mn 51s Total=2h 35mn 8s Proved prime with 'Primo 2.0.0 - beta 3' by Patrick De Geest using a Pentium III 650 MHz chip.
8*(10^1227-1)/9 + (10^1226+1) [PRIMO - Primality Certificate] Version=2.1.1 WebSite=http://www.ellipsa.net/ Format=3 ID=B29050085869E Created=07/01/2003 02:25:52 AM TestCount=182 Status=Candidate certified prime [Running Times] Initialization=1.89s 1stPhase=2h 15mn 4s 2ndPhase=16mn 10s Total=2h 31mn 17s [Candidate] File=C:\Primo IN & OUT files\PDP1227.in Expression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exadecimalSize=1019 DecimalSize=1227 BinarySize=4076 Proved prime with 'Primo 2.1.1' by Patrick De Geest using a 3000 MHz Pentium 4 cpu. Certificate Primo-B29050085869E-01.out available by simple email request (173 KB).
8*(10^4795-1)/9 + (10^4794+1) Primo certificate by courtesy of Ray Chandler (Feb 7, 2013) from factrodb.com http://factordb.com/cert.php?id=1000000000009854818 [PRIMO - Primality Certificate] Version=4.0.1 - LX64 WebSite=http://www.ellipsa.eu/ Format=3 ID=B36B8049DC23D Created=02-05-2013 09:30:58 pm TestCount=593 Status=Candidate certified prime [Comments] Put here any comment... [Running Times] Initialization=11.18s 1stPhase=79033s 2ndPhase=16126s Total=95170s [Candidate] File=/home/ray/Documents/primo/fdb_knrr/pdp-4795-98w9/primo_1000000000009854818.in N\$=18BEDA3F5C0D40324443383C879F8041EC24F1C040F99FB057EAA37F3ABF8F57263BE31341CAB1... HexadecimalSize=3983 DecimalSize=4795 BinarySize=15929
8*(10^20721-1)/9 + (10^20720+1)
8*(10^133581-1)/9 + (10^133580+1) UID: Batalov/Q6600F, 89*10^133580+1/9 is a probable prime! Wd1: 1E7E05E5,00000000
8*(10^411591-1)/9 + (10^411590+1) By Serge Batalov (89*10^411590+1)/9 is base 3-Strong Fermat PRP! (411591 decimal digits) Time : 971.723 sec. Tools used: srsieve and LLR; validated in a few bases with PFGW.