8*(10^3-1)/9 - 5*(10^2+1)
*** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0
N=(38*10^3-83)/99
N=383
*** N is prime!
Time: 0 sec
8*(10^13-1)/9 - 5*(10^12+1)
run"aprt-cle
Test number N=? 8*(10^13-1)\9 - 5*(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 !
3888888888883 is prime.
0:00:00
OK
Proved prime with 'Ubasic - APRT-CLE.UB'
by Patrick De Geest using a Pentium III 650 MHz chip.
8*(10^61-1)/9 - 5*(10^60+1)
== ID:B28680499236C =============================================
PRIMO 1.2.1 - Primality Certificate
-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 388888888888888888888888888888888888888888888888888888888888\
3
Decimal size = 61
Binary size = 202
Started 01/25/2003 09:25:44 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.
8*(10^117-1)/9 - 5*(10^116+1)
== ID:B286903693A86 =============================================
PRIMO 1.2.1 - Primality Certificate
-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 388888888888888888888888888888888888888888888888888888888888\
888888888888888888888888888888888888888888888888888888883
Decimal size = 117
Binary size = 388
Started 01/26/2003 03:53:47 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.
8*(10^291-1)/9 - 5*(10^290+1)
== ID:B286A001A6AB2 =============================================
PRIMO 1.2.1 - Primality Certificate
-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 388888888888888888888888888888888888888888888888888888888888\
888888888888888888888888888888888888888888888888888888888888\
888888888888888888888888888888888888888888888888888888888888\
888888888888888888888888888888888888888888888888888888888888\
888888888888888888888888888888888888888888888888883
Decimal size = 291
Binary size = 966
Started 01/27/2003 12:28:51 AM
Running time 1mn 34s
Candidate certified prime
=================================================================
Proved prime with 'Primo 1.2.1'
by Patrick De Geest using a Pentium III 650 MHz chip.
8*(10^633-1)/9 - 5*(10^632+1)
== ID:B286D01403F8E =============================================
PRIMO 1.2.1 - Primality Certificate
-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 388888888888888888888888888888888888888888888888888888888888\
888888888888888888888888888888888888888888888888888888888888\
888888888888888888888888888888888888888888888888888888888888\
888888888888888888888888888888888888888888888888888888888888\
888888888888888888888888888888888888888888888888888888888888\
888888888888888888888888888888888888888888888888888888888888\
888888888888888888888888888888888888888888888888888888888888\
888888888888888888888888888888888888888888888888888888888888\
888888888888888888888888888888888888888888888888888888888888\
888888888888888888888888888888888888888888888888888888888888\
888888888888888888888888888888883
Decimal size = 633
Binary size = 2102
Started 01/30/2003 05:49:47 AM
Running time 52mn 3s
Candidate certified prime
=================================================================
Proved prime with 'Primo 1.2.1'
by Patrick De Geest using a Pentium III 650 MHz chip.
8*(10^1065-1)/9 - 5*(10^1064+1)
[PRIMO - Primality Certificate]
Version=2.2.0 beta 1
WebSite=http://www.ellipsa.net/
Format=3
ID=B29570501FA18
Created=09/21/2003 11:20:17 PM
TestCount=159
Status=Candidate certified prime
[Running Times]
Initialization=2.20s
1stPhase=47mn 38s
2ndPhase=10mn 10s
Total=57mn 51s
[Candidate]
File=C:\Primo IN & OUT files\PDP1065.in
Expression=8*(10^1065-1)/9-5*(10^1064+1)
N$=167C0019DD21C3B720ED3815C3AB035CC79AD5BD4F911863E98CE64A506BEED94D5072F7BD45D51F51D0EE6784A01328\
5FC0FBABA7AF96AA9439AD3A1C4DF225DAD0089E80A939D538A4E85F6F2B466E79DE31EB0A6760772EF55F7D5834A2C0732\
4495846E5FE6FC9BF72BA6CB18CD8407CFADB0B7B0B33DFC1FB87C1CD9C725413E1B444141E38D82BBF461C16C38133EACE\
15A2FFDEAE03EEDD8C07B784C30962D4B302F7B2F521570934428C5AB2F1E1D3AFD7C933FB7F5ABBF04B61CCA9CDD6F3EE6\
D09C85D8EE738803A97564F507BCE346AD957161B63208B6D4339266CAFE7D0D1BFA28B3BE95407EC6211671309AE197BD8\
3F796BB8CAE6FB2F90D26228FCF484ED6C510182D682496F4C85119CAA8D69CDFC4BD0FCAFD3D335A7A003EA2B90E430AA1\
25EE1F4D033B33A8A451DA29987938E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38\
E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38\
E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E33 |
HexadecimalSize=885
DecimalSize=1065
BinarySize=3537
Proved prime with 'Primo 2.2.0 - beta 1'
by Patrick De Geest using a 3000 MHz Pentium 4 cpu.
Certificate Primo-B29570501FA18-01.out available by
simple email request (121 KB).
8*(10^1495-1)/9 - 5*(10^1494+1)
[PRIMO - Primality Certificate]
Version=2.1.1
WebSite=http://www.ellipsa.net/
Format=3
ID=B290900F01444
Created=07/05/2003 04:22:19 AM
TestCount=238
Status=Candidate certified prime
[Running Times]
Initialization=5.35s
1stPhase=8h 19mn 11s
2ndPhase=36mn 51s
Total=8h 56mn 8s
[Candidate]
File=C:\Primo IN & OUT files\PDP1495.in
Expression=8*(10^1495-1)/9-5*(10^1494+1)
N$=1E45BCDDDDBB8F2039A50CED9F1BA67669F1E33A8EB9E2F34A97143CFD3A1D59396C2B3C8C0D897AC94506CAE23CD77F\
7895B3F5ED24686714F9C717BCA170200115572100B35EE68630C0ADEB14D69F6C635C1278A082E8E2CFD9ED900C2FF6461\
34EF9E02A0EB83627DABDD4D416F8174CE42789BD8FE09DC286376ECD04BC4631BDDCBB9ACFF14B5FA0B64A457DAE5E5503\
1EB93A256A4F344707707822585DF7ABBE6EDFB232F663514A08366EB2F3304A044BCF5694860FBE7864EDD69F455B439DF\
333E6CDFA2E3324F8CFB7422BA8E1DFD3EADDB681B6422F555C5A36A4B21188756ACCE6F330413DFD8DC38157ABBB84F0D4\
0F9FD25CFE708C1E98B5972EDCD002F42C79C3DB380394BBAAA60828D3BFC88CB7DD506DD086FBE429CC6D8E22F7BB314D5\
36B7E2C006A300C4E9E6D5066BAEF47787D95B07F29DDED14BE5B0E92D829CA56051E2588B33AECF846226452DCD92717B3\
0BB28F7A08F9E6F1A73E1E524C98DBBA7ABA9AEDCF069334FCD93E7FD768E36E79F1B3A4144FE9BB10CDE11D7EEE8CF760A\
9D8EBF8AA8E89B7533ED6AD5B4D86D461156F7EFFFC56971698EE5CBFFE851F60862FA4A57C4BE6F8E38E38E38E38E38E38\
E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38\
E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38\
E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38\
E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E33 |
HexadecimalSize=1242
DecimalSize=1495
BinarySize=4965
Proved prime with 'Primo 2.1.1'
by Patrick De Geest using a 3000 MHz Pentium 4 cpu.
Certificate Primo-B290900F01444-01.out available by
simple email request (284 KB).
8*(10^5433-1)/9 - 5*(10^5432+1)
Xinyao Chen informs me (May 19,2022) that this number is
now a proven plateau-and-depression prime.
Proof was done by Maksym Voznyy on May 16, 2016.
See source at
https://stdkmd.net/nrr/records.htm#pdprime
8*(10^7363-1)/9 - 5*(10^7362+1)
Xinyao Chen informs me (May 19,2022) that this number is
now a proven plateau-and-depression prime.
Proof was done by Maksym Voznyy on December 8, 2020.
See source at
https://stdkmd.net/nrr/records.htm#pdprime
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( © All rights reserved ) - Last modified : March 15, 2023.
Patrick De Geest - Belgium
- Short Bio - Some Pictures
E-mail address : pdg@worldofnumbers.com