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4*(10^7-1)/9 - (10^6+1) run"aprt-cle Test number N=? 3444443 Preparatory test Pass ! 3444443 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*(10^13-1)/9 - (10^12+1) run"aprt-cle Test number N=? 4*(10^13-1)\9 - (10^12+1) Preparatory test Pass ! Main test for P= 2 for Q= 3 for Q= 5 for Q= 7 for Q= 13 for Q= 11 Main test for P= 3 for Q= 7 for Q= 13 Main test for P= 5 for Q= 11 Pass ! 3444444444443 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*(10^493-1)/9 - (10^492+1) == ID:B286C037F0104 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 344444444444444444444444444444444444444444444444444444444444\ 444444444444444444444444444444444444444444444444444444444444\ 444444444444444444444444444444444444444444444444444444444444\ 444444444444444444444444444444444444444444444444444444444444\ 444444444444444444444444444444444444444444444444444444444444\ 444444444444444444444444444444444444444444444444444444444444\ 444444444444444444444444444444444444444444444444444444444444\ 444444444444444444444444444444444444444444444444444444444444\ 4444444444443 Decimal size = 493 Binary size = 1637 Started 01/29/2003 04:17:34 PM Running time 4mn 49s Candidate certified prime ================================================================= Proved prime with 'Primo 1.2.1' by Patrick De Geest using a Pentium III 650 MHz chip.
4*(10^5569-1)/9 - (10^5568+1) 3-PRP!
4*(10^24757-1)/9 - (10^24756+1) 3-PRP! PFGW Version 20041020.Win_Stable (v1.2 RC1c) [FFT v23.8].