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(10^21-1)/9 + 5*10^10 == ID:B28130451F15E ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 111111111161111111111 Decimal size = 21 Binary size = 67 Started 11/01/2002 08:07:59 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.
(10^29-1)/9 + 5*10^14 == ID:B281304509372 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 11111111111111611111111111111 Decimal size = 29 Binary size = 94 Started 11/01/2002 08:06:29 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.
(10^81-1)/9 + 5*10^40 == ID:B2813044D2F20 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 111111111111111111111111111111111111111161111111111111111111\ 111111111111111111111 Decimal size = 81 Binary size = 266 Started 11/01/2002 08:02:47 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.
(10^119-1)/9 + 5*10^59 == ID:B2813044BA916 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 111111111111111111111111111111111111111111111111111111111116\ 11111111111111111111111111111111111111111111111111111111111 Decimal size = 119 Binary size = 393 Started 11/01/2002 08:01:07 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.
(10^321-1)/9 + 5*10^160 == ID:B281304490E40 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111161111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111 Decimal size = 321 Binary size = 1064 Started 11/01/2002 07:58:16 PM Running time 52s Candidate certified prime ================================================================= Proved prime with 'Primo 1.2.1' by Patrick De Geest using a Pentium III 650 MHz chip.
(10^825-1)/9 + 5*10^412 [PRIMO - Primality Certificate] Version=2.0.0 - beta 3 Format=2 ID=B280200B4CBB6 Created=10/15/2002 03:17:28 AM TestCount=115 Status=Candidate certified prime [Candidate] File=C:\Program Files\Primo200\pwp161_825.in Expression=(10^825-1)/9 + 5*10^412 N$=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 HexadecimalSize=685 DecimalSize=825 BinarySize=2738 [Running Times] Initialization=2.53s 1stPhase=33mn 6s 2ndPhase=5mn 32s Total=38mn 41s Proved prime with 'Primo 2.0.0 - beta 3' by Patrick De Geest using a Pentium III 650 MHz chip.
(10^1121-1)/9 + 5*10^560 [PRIMO - Primality Certificate] Version=2.0.0 - beta 3 - (1)560 6 (1)560 Format=2 ID=B27F403DF136E Created=10/01/2002 06:02:31 PM TestCount=165 Status=Candidate certified prime [Running Times] Initialization=2.14s 1stPhase=1h 8mn 3s 2ndPhase=7mn 6s Total=1h 15mn 11s Proved prime with 'Primo 2.0.0 - beta 3' by Jeff Heleen using a 1.33 GHz Athlon chip. The file "Primo-B27F403DF136E-001.out" is 197 KB and is available on demand by simple email request.
(10^2579-1)/9 + 5*10^1289 [PRIMO - Primality Certificate] Version=2.0.0 - beta 3 - (1)1289 6 (1)1289 Format=2 ID=B27F700F14802 Created=10/04/2002 04:23:32 AM TestCount=363 Status=Candidate certified prime [Running Times] Initialization=14.86s 1stPhase=62h 34mn 31s 2ndPhase=4h 27mn 5s Total=67h 1mn 51s Proved prime with 'Primo 2.0.0 - beta 3' by Jeff Heleen using a 1.33 GHz Athlon chip. The file "Primo-B27F700F14802-001.out" is 1050 KB and is available on demand by simple email request.
(10^3693-1)/9 + 5*10^1846 The near-repdigit palindrome wing prime (10^3693-1)/9+5*10^1846 has been certified prime by Darren Bedwell using Primo and published dd. Oct 17, 2010. Certificate here. [PRIMO - Primality Certificate] Version=3.0.9 WebSite=http://www.ellipsa.eu/ Format=3 ID=B336B0523523D Created=10/14/2010 11:56:49 PM TestCount=510 Status=Candidate certified prime [Comments] Write any comment here [Running Times] Initialization=8.43s 1stPhase=40h 46mn 11s 2ndPhase=11h 36mn 26s Total=52h 22mn 45s [Candidate] File=Z:\home\darren\Desktop\primo\work\prp1846.in Expression=(10^3693-1)/9+5*10^1846 N$=1A2EB67E9296D8D279BF3520A9AD9346E3730A045F717... HexadecimalSize=3067 DecimalSize=3693 BinarySize=12265