loading...



















(10^3-1)/9 + 2*(10^2+1) *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(31*10^3-13)/99 N=313 *** N is prime! Time: 0 sec
(10^13-1)/9 + 2*(10^12+1) run"aprt-cle Test number N=? (10^13-1)\9 + 2*(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 ! 3111111111113 is prime. 0:00:00 OK Proved prime with 'Ubasic - APRT-CLE.UB' by Patrick De Geest using a Pentium III 650 MHz chip.
(10^15-1)/9 + 2*(10^14+1) == ID:B286400B892F0 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 311111111111113 Decimal size = 15 Binary size = 49 ----------------------------------------------------------------- 1) N+1 Test ----------------------------------------------------------------- N = Candidate S = 46282 R = 6722075777 Q = 14 ----------------------------------------------------------------- 2) SPP Test ----------------------------------------------------------------- N = R of preceding test Started 01/21/2003 03:21:36 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.
(10^31-1)/9 + 2*(10^30+1) == ID:B286500FF6130 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 3111111111111111111111111111113 Decimal size = 31 Binary size = 102 ----------------------------------------------------------------- 1) N+1 Test ----------------------------------------------------------------- N = Candidate S = 1314 R = 2367664468121089125655335701 Q = 7 ----------------------------------------------------------------- 2) EC Test ----------------------------------------------------------------- N = R of preceding test S = 2016936692500 R = 1173891315937271 A =-140 B = 784 T = 0 ----------------------------------------------------------------- 3) N-1 Test ----------------------------------------------------------------- N = R of preceding test S = 356090 R = 3296614103 B = 2 ----------------------------------------------------------------- 4) SPP Test ----------------------------------------------------------------- N = R of preceding test Started 01/22/2003 04:38:56 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.
(10^105-1)/9 + 2*(10^104+1) == ID:B2869034BB06A ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 311111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111113 Decimal size = 105 Binary size = 348 Started 01/26/2003 03:21:32 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.
(10^127-1)/9 + 2*(10^126+1) == ID:B286903704C7C ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 311111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 1111113 Decimal size = 127 Binary size = 421 Started 01/26/2003 04:01:31 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.
(10^343-1)/9 + 2*(10^342+1) == ID:B286A0024994C ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 311111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 1111111111111111111111111111111111111111113 Decimal size = 343 Binary size = 1138 Started 01/27/2003 12:39:58 AM Running time 2mn 49s Candidate certified prime ================================================================= Proved prime with 'Primo 1.2.1' by Patrick De Geest using a Pentium III 650 MHz chip.
(10^601-1)/9 + 2*(10^600+1) == ID:B286D0122DBA6 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 311111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 111111111111111111111111111111111111111111111111111111111111\ 3 Decimal size = 601 Binary size = 1995 Started 01/30/2003 05:17:41 AM Running time 27mn 45s Candidate certified prime ================================================================= Proved prime with 'Primo 1.2.1' by Patrick De Geest using a Pentium III 650 MHz chip.
(10^9825-1)/9 + 2*(10^9824+1) 3-PRP!