*** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(75*10^3-57)/99 N=757 *** N is prime! Time: 0 sec
run"aprt-cle
Test number N=? 75557
Preparatory test
Pass !
75557 is prime.
0:00:00
OK
Proved prime with 'Ubasic - APRT-CLE.UB'
by Patrick De Geest using a Pentium III 650 MHz chip.
run"aprt-cle
Test number N=? 5*(10^11-1)\9 + 2*(10^10+1)
Preparatory test
Pass !
Main test for P= 2
for Q= 3 for Q= 5 for Q= 7 for Q= 13
Main test for P= 3
for Q= 7 for Q= 13
Main test for P= 5
retry for Q= 11 Pass !
75555555557 is prime.
0:00:00
OK
Proved prime with 'Ubasic - APRT-CLE.UB'
by Patrick De Geest using a Pentium III 650 MHz chip.
== ID:B286400C6CC4E ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 755555555555555555557 Decimal size = 21 Binary size = 70 ----------------------------------------------------------------- 1) N-1 Test ----------------------------------------------------------------- N = Candidate S = 57204 R = 13208089566386189 B = 2 ----------------------------------------------------------------- 2) N-1 Test ----------------------------------------------------------------- N = R of preceding test S = 1358276 R = 9724157363 B = 2 ----------------------------------------------------------------- 3) SPP Test ----------------------------------------------------------------- N = R of preceding test Started 01/21/2003 03:37:08 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:B286400C8E222 ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 75555555555555555555557 Decimal size = 23 Binary size = 76 ----------------------------------------------------------------- 1) N-1 Test ----------------------------------------------------------------- N = Candidate S = 85436 R = 884352679848723671 B = 2 ----------------------------------------------------------------- 2) N+1 Test ----------------------------------------------------------------- N = R of preceding test S = 28296 R = 31253628776107 Q = 11 ----------------------------------------------------------------- 3) SPP Test ----------------------------------------------------------------- N = R of preceding test Started 01/21/2003 03:39:25 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:B286804962CFC ============================================= PRIMO 1.2.1 - Primality Certificate ----------------------------------------------------------------- Candidate ----------------------------------------------------------------- N = 75555555555555555555555555555555555555555555555555555555557 Decimal size = 59 Binary size = 196 Started 01/25/2003 09:22:30 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.
== ID:B28690076EB16 =============================================
PRIMO 1.2.1 - Primality Certificate
-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 755555555555555555555555555555555555555555555555555555555555\
555555555555557
Decimal size = 75
Binary size = 249
Started 01/26/2003 02:09:53 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:B286900788ADE =============================================
PRIMO 1.2.1 - Primality Certificate
-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 755555555555555555555555555555555555555555555555555555555555\
55555555555555555555557
Decimal size = 83
Binary size = 276
Started 01/26/2003 02:11:39 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:B286A0000D0C0 =============================================
PRIMO 1.2.1 - Primality Certificate
-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 755555555555555555555555555555555555555555555555555555555555\
555555555555555555555555555555555555555555555555555555555555\
555555555555555555555555555555555555555555555555555555555555\
55555555555555555555555555557
Decimal size = 209
Binary size = 694
Started 01/27/2003 12:00:53 AM
Running time 7s
Candidate certified prime
=================================================================
Proved prime with 'Primo 1.2.1'
by Patrick De Geest using a Pentium III 650 MHz chip.
== ID:B286A002A18F4 =============================================
PRIMO 1.2.1 - Primality Certificate
-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 755555555555555555555555555555555555555555555555555555555555\
555555555555555555555555555555555555555555555555555555555555\
555555555555555555555555555555555555555555555555555555555555\
555555555555555555555555555555555555555555555555555555555555\
555555555555555555555555555555555555555555555555555555555555\
555555555555555555555555555555555555555555555555557
Decimal size = 351
Binary size = 1166
Started 01/27/2003 12:45:58 AM
Running time 1mn 51s
Candidate certified prime
=================================================================
Proved prime with 'Primo 1.2.1'
by Patrick De Geest using a Pentium III 650 MHz chip.
== ID:B286A03D54D16 =============================================
PRIMO 1.2.1 - Primality Certificate
-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 755555555555555555555555555555555555555555555555555555555555\
555555555555555555555555555555555555555555555555555555555555\
555555555555555555555555555555555555555555555555555555555555\
555555555555555555555555555555555555555555555555555555555555\
555555555555555555555555555555555555555555555555555555555555\
555555555555555555555555555555555555555555555555555555555555\
555555555555555555555555555555555555555555555555555555555555\
557
Decimal size = 423
Binary size = 1405
Started 01/27/2003 05:51:50 PM
Running time 8mn 28s
Candidate certified prime
=================================================================
Proved prime with 'Primo 1.2.1'
by Patrick De Geest using a Pentium III 650 MHz chip.
Primo certificate by courtesy of Ray Chandler (Feb 7, 2013) from factordb.com http://factordb.com/cert.php?id=1000000000009153836 [PRIMO - Primality Certificate] Version=4.0.1 - LX64 WebSite=http://www.ellipsa.eu/ Format=3 ID=B36B7021FBBE1 Created=02-04-2013 09:54:00 am TestCount=503 Status=Candidate certified prime [Comments] Put here any comment... [Running Times] Initialization=6.55s 1stPhase=27991s 2ndPhase=7273s Total=35271s [Candidate] File=/home/ray/Documents/primo/fdb_knrr/pdp-3813-75w7/primo_1000000000009153836.in
|
Primo certificate by courtesy of Ray Chandler (Feb 7, 2013) from factordb.com http://factordb.com/cert.php?id=1000000000009154006 [PRIMO - Primality Certificate] Version=4.0.1 - LX64 WebSite=http://www.ellipsa.eu/ Format=3 ID=B36B801ADAC1F Created=02-05-2013 07:49:26 am TestCount=498 Status=Candidate certified prime [Comments] Put here any comment... [Running Times] Initialization=7.53s 1stPhase=35558s 2ndPhase=10317s Total=45883s [Candidate] File=/home/ray/Documents/primo/fdb_knrr/pdp-3983-75w7/primo_1000000000009154006.in
|
3-PRP! PFGW Version 20041020.Win_Stable (v1.2 RC1c) [FFT v23.8].
3-PRP! PFGW Version 20041020.Win_Stable (v1.2 RC1c) [FFT v23.8].
3-PRP! PFGW Version 20041020.Win_Stable (v1.2 RC1c) [FFT v23.8].
Ray Chandler / srsieve, PFGW / September 29, 2010. PFGW Version 3.3.6.20100908.Win_Stable [GWNUM 25.14] Primality testing (68*10^56042+13)/9 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 5, base 5+sqrt(5) (68*10^56042+13)/9 is Fermat and Lucas PRP! (959.0270s+0.0030s)
Ray Chandler / srsieve, PFGW / October 30, 2010. PFGW Version 3.4.2.64BIT.20101019.Win_Dev [GWNUM 26.4] Primality testing (68*10^68504+13)/9 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 5, base 5+sqrt(5) (68*10^68504+13)/9 is Fermat and Lucas PRP! (1547.4805s+0.0144s)
Ray Chandler / srsieve, PFGW / November 17, 2010. PFGW Version 3.4.2.64BIT.20101019.Win_Dev [GWNUM 26.4] Primality testing (68*10^74434+13)/9 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 5, base 5+sqrt(5) Calling N-1 BLS with factored part 0.01% and helper 0.00% (0.04% proof) (68*10^74434+13)/9 is Fermat and Lucas PRP! (1692.7921s+0.0019s)
By Serge Batalov dd. January 13, 2023. PRP Source : https://stdkmd.net/nrr/7/75557.htm#prime
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Patrick De Geest - Belgium
- Short Bio - Some PicturesE-mail address : pdg@worldofnumbers.com