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4*(10^7-1)/9 - 3*(10^6+1) run"aprt-cle Test number N=? 1444441 Preparatory test Pass ! 1444441 is prime. 0:00:00 OK Proved prime with 'Ubasic - APRT-CLE.UB' by Patrick De Geest using a Pentium III 650 MHz chip.
4*(10^67-1)/9 - 3*(10^66+1) == ID:B28690066BACA ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 144444444444444444444444444444444444444444444444444444444444\ 4444441 Decimal size = 67 Binary size = 220 Started 01/26/2003 01:52:12 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.
4*(10^1255-1)/9 - 3*(10^1254+1) [PRIMO - Primality Certificate] Version=2.1.1 WebSite=http://www.ellipsa.net/ Format=3 ID=B2906008EC08E Created=07/02/2003 02:35:57 AM TestCount=181 Status=Candidate certified prime [Running Times] Initialization=2.02s 1stPhase=1h 44mn 59s 2ndPhase=19mn 32s Total=2h 4mn 33s [Candidate] File=C:\Primo IN & OUT files\PDP1255.in Expression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exadecimalSize=1042 DecimalSize=1255 BinarySize=4167 Proved prime with 'Primo 2.1.1' by Patrick De Geest using a 3000 MHz Pentium 4 cpu. Certificate Primo-B2906008EC08E-01.out available by simple email request (168 KB).
4*(10^8407-1)/9 - 3*(10^8406+1)
4*(10^67039-1)/9 - 3*(10^67038+1) PFGW Version 1.2.0 for Windows [FFT v23.8] Primality testing (13*10^67038-31)/9 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Running N-1 test using base 13 Running N+1 test using discriminant 23, base 3+sqrt(23) Calling N+1 BLS with factored part 0.01% and helper 0.01% (0.05% proof) (13*10^67038-31)/9 is Fermat and Lucas PRP! (1944.0504s+0.0042s)