*** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(18*10^3-81)/99 N=181 *** N is prime! Time: 0 sec
== ID:B281400FBD042 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 111181111 Decimal size = 9 Binary size = 27 ----------------------------------------------------------------- 1) SPP Test ----------------------------------------------------------------- N = Candidate Started 11/02/2002 04:35:02 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.
== ID:B281400FAA3E8 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 1111118111111 Decimal size = 13 Binary size = 41 ----------------------------------------------------------------- 1) SPP Test ----------------------------------------------------------------- N = Candidate Started 11/02/2002 04:33:46 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.
== ID:B281400F97A18 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 111111181111111 Decimal size = 15 Binary size = 47 ----------------------------------------------------------------- 1) SPP Test ----------------------------------------------------------------- N = Candidate Started 11/02/2002 04:32:29 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.
[PRIMO - Primality Certificate] Version=2.0.0 - beta 3 Format=2 ID=B2803012AB858 Created=10/16/2002 05:26:16 AM TestCount=126 Status=Candidate certified prime [Candidate] File=C:\Program Files\Primo200\pwp181_769.in Expression=(10^769-1)/9 + 7*10^384
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|
[PRIMO - Primality Certificate] Version=2.0.0 - beta 3 - (1)666 8 (1)666 Format=2 ID=B27F4042DB5A0 Created=10/01/2002 07:28:24 PM TestCount=194 Status=Candidate certified prime [Running Times] Initialization=2.71s 1stPhase=2h 16mn 42s 2ndPhase=16mn 2s Total=2h 32mn 47s Proved prime with 'Primo 2.0.0 - beta 3' by Jeff Heleen using a 1.33 GHz Athlon chip. The file "Primo-B27F4042DB5A0-001.out" is 283 KB and is available on demand by simple email request.
[PRIMO - Primality Certificate] Version=2.0.0 - beta 3 - (1)675 8 (1)675 Format=2 ID=B27F404CB6246 Created=10/01/2002 10:20:37 PM TestCount=192 Status=Candidate certified prime [Running Times] Initialization=3.49s 1stPhase=2h 18mn 45s 2ndPhase=15mn 36s Total=2h 34mn 25s Proved prime with 'Primo 2.0.0 - beta 3' by Jeff Heleen using a 1.33 GHz Athlon chip. The file "Primo-B27F404CB6246-001.out" is 269 KB and is available on demand by simple email request.
Xinyao Chen informs me (May 19,2022) that this number is now a proven palindromic wing prime. Proof was done by Masaki UKAI on September 16, 2020. See source at https://stdkmd.net/nrr/records.htm#nrpprime
Found by Robert Price (10^(2*131020+1)+63*10^131020-1)/9 is 3-PRP! (1849.4595s+0.0106s)
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