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233548 + 4471
10099 decimal digits
|
The certification of this number was done by Norman Luhn with Primo 3.0.7 in about 119 days!
In order to get such an amazing running time,
Norman split temporary certificates, ran several Primo processes on a PC with a multicore processor (to parallelize the most
possible work) and, finally, rebuilt the whole certificate by cutting and pasting each test. A very smart certification.
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233548 + 4471 10099 decimal digits |
Certified by Norman Luhn (EU, 2009) Certificate: ecpp10099.zip (5583 KB) |
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229727 + 20273 8949 decimal digits |
Certified by Norman Luhn (EU, 2009) Certificate: ecpp8949.zip (4526 KB) |
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Phi(6105,-1000) 8641 decimal digits |
Certified by Ray Chandler (US, 2010) [more...] Certificate: ecpp8641.zip (4440 KB) |
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Phi(4667,-100) 8593 decimal digits |
Certified by Ray Chandler (US, 2009) [more...] Certificate: ecpp8593.zip (4548 KB) |
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Factor of Phi(1887,-11758041) 8125 decimal digits |
Certified by Andrew Steward (EU, 2009) [more...] Certificate: ecpp8125.zip (4406 KB) |
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226827 + 77783 8076 decimal digits |
Certified by Engracio Esmenda (EU, 2010) Certificate: ecpp8076.zip (3979 KB) |
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226795 + 57083 8067 decimal digits |
Certified by Luigi Morelli (EU, 2009) Certificate: ecpp8067.zip (3910 KB) |
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18517# + 39317 7993 decimal digits |
Certified by Pierre Cami (EU, 2005) Certificate: ecpp7993.zip (3902 KB) |
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Euler(2762) ÷ 2670541 7760 decimal digits |
Certified by Mike Oakes (EU, 2004) Certificate: ecpp7760.zip (3584 KB) |
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225563 + 22193 7696 decimal digits |
Certified by Engracio Esmenda (EU, 2010) Certificate: ecpp7696.zip (3612 KB) |
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Phi(4029,-1000) 7488 decimal digits |
Certified by Ray Chandler (US, 2009) [more...] Certificate: ecpp7488.zip (3368 KB) |
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87 × 224582 + 2579 7402 decimal digits |
Certified by Hans Rosenthal (EU, 2004) Certificate at ecpp7402b.zip (3407 KB) |
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87 × 224582 + 1289 7402 decimal digits |
Certified by Torbjörn Alm (EU, 2004) Certificate at ecpp7402a.zip (3328 KB) |
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LucasV(34759) ÷ 27112021 7257 decimal digits |
Certified by Raffi Chaglassian (US, 2005) Certificate: ecpp7257.zip (3344 KB) |
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Phi(9455,-10) 7200 decimal digits |
Certified by Raffi Chaglassian (US, 2005) Certificate: ecpp7200.zip (3209 KB) |
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Phi(1479,-100000000) 7168 decimal digits |
Certified by Ray Chandler (US, 2009) [more...] Certificate: ecpp7168.zip (3089 KB) |
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16369# + 44651 7056 decimal digits |
Certified by Pierre Cami (EU, 2004) Certificate: ecpp7056.zip (3180 KB) |
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Factor of Phi(5346,23151) 7034 decimal digits |
Certified by Andrew Steward (EU, 2008) Certificate: ecpp7034.zip (3064 KB) |
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(32 × 106959 - 23) ÷ 99 6959 decimal digits |
Certified by Hans Rosenthal (EU, 2003) Certificate: ecpp6959.zip (4957 KB) |
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Phi(19240,10) 6912 decimal digits |
Certified by Ray Chandler (US, 2009) Certificate: ecpp6912.zip (2849 KB) |
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(32 × 106959 - 23) ÷ 99 6959 decimals digits |
Certified by Hans Rosenthal with Primo (EU, January 2002 - July 2003). Certificate: ecpp6959.zip (4957 KB) |
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16282536 ... 36478311 5878 decimals digits |
Certified by Jose Luis Gomez Pardo with Primo (EU, September 2002 - February 2003). Certificate: ecpp5878b.zip (3223 KB) |
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105019 + 43157099231631693 5020 decimal digits |
Certified by Giovanni and Marco La Barbera with Primo (EU, June 2001 - September 2001). Certificate: ecpp5020.zip (2177 KB) |
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103999 + 4771 4000 decimal digits |
Certified by Giovanni and Marco La Barbera with Titanix [1] (EU, February 2001 - May 2001). Certificate: ecpp4000.zip (1366 KB) |
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(3481223 - 1) ÷ 347 3106 decimal digits |
Certified by Giovanni and Marco La Barbera with Titanix (EU, November 2000 - January 2001). |
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(301789 - 1) ÷ 29 2642 decimal digits |
Certified by Giovanni and Marco La Barbera with Titanix (EU, September 2000 - October 2000). |
[1] Primo is the successor of Titanix, which one is no more distributed.
Since 2003, 64-bit multiprocessor versions of ECPP have established new records (notice that, up to now, these programs have never been released by their respective authors).
Links to some pages reporting primes certified with Primo:
- Can you find (Shyam Sunder Gupta)
- Factorizations of x^y + y^x (Andrey Kulsha)
- Largest Known CPAP's and Top-20 Prime Gaps (Jens Kruse Andersen)
- Multifactorial Primes of the form ±2 (Ken Davis)
- On-Line Encyclopedia of Integer Sequences (Neil Sloane)
- Palindromic Wing Primes and SUPP's (Patrick De Geest)
- Prime k-tuplets (Tony Forbes)
- Prime Pages (Chris Caldwell)
- Prime Puzzles (Carlos Rivera)
- Records of Prime Numbers (Paul Zimmermann)
Last update February 6, 2010
Copyright © 2010, Marcel Martin. All rights reserved.