Welcome
 

[QUOTE=Stef42;290956][Feb 26 13:12] Optimal P-1 factoring of M54570709 using up to 3000MB of memory.
[Feb 26 13:12] Assuming no factors below 2^71 and 2 primality tests saved if a factor is found.
[Feb 26 17:19] P-1 found a factor in stage #2, B1=575000, B2=12937500.
[Feb 26 17:19] M54570709 has a factor: 21773037347664618203527[/QUOTE]
Congrats and welcome to GIMPS forum! We'd like to know the fingerprint / value of k. ;-) It can be calculated as described here: P-1 factoring at [URL]http://www.mersenne.org/various/math.php[/URL]

The factorisation can be done here: [URL]http://mersenne-aries.sili.net/factor.php[/URL]

or here: [url]http://wims.unice.fr/wims/wims.cgi?cmd=new&module=tool/algebra/factor.en[/url]

[Feb 27 05:48] Stage 2 GCD complete. Time: 48.982 sec.
[Feb 27 05:48] P-1 found a factor in stage #2, B1=425000, B2=8181250.
[Feb 27 05:48] M[URL="http://mersenne-aries.sili.net/exponent.php?exponentdetails=47493847"]47493847[/URL] has a factor: 2774014039648646760250409

k = 2[SIZE=2][SUP][SIZE=2]2[/SIZE][/SUP] × 29 × 18313 × 23567 × 583337[/SIZE]

[QUOTE=Brain;290968]Congrats and welcome to GIMPS forum! We'd like to know the fingerprint / value of k. ;-) It can be calculated as described here: P-1 factoring at [URL]http://www.mersenne.org/various/math.php[/URL]

The factorisation can be done here: [URL]http://mersenne-aries.sili.net/factor.php[/URL][/QUOTE]

From: [url]http://mersenne-aries.sili.net/exponent.php?exponentdetails=M54570709[/url]

K: = 3 × 13 × 529747 × 9655979

I hope I've done this right, I'm not all too well in math (ironically), just helping a bit :)

thats a nice one, close to max B1 and B2.

[QUOTE=Stef42;291095]From: [URL]http://mersenne-aries.sili.net/exponent.php?exponentdetails=M54570709[/URL]

K: = 3 × 13 × 529747 × 9655979

I hope I've done this right, I'm not all too well in math (ironically), just helping a bit :)[/QUOTE]Yes, that's correct. So, that K * 2 * 54570709 + 1 = 21773037347664618203527

Remarkably not-smooth factor, yet as firejuggler points out, it was still just smooth enough to be found.

Brent-Suyama 0_o

[url]http://mersenne-aries.sili.net/exponent.php?factordetails=3546977485247966555997217[/url]

:mellow:

k = 2^4 × 3 × 1367 × 1427 × [U][B]346 268 953[/B][/U] (81.55 bits)

B2 = 8,906,250;
factor = 346,268,953

factor/B2 = 38.9

For every other expo on this comp, E=12, but P95 doesn't report E when a factor is found.

[CODE][Sat Mar 03 19:13:28 2012]
ECM found a factor in curve #2, stage #1
Sigma=4837041697745753, B1=50000, B2=5000000.
M6597233 has a factor: 200133817910449865999, AID: 919ABE49609E1C6F151B5D84F6E6435A[/CODE]

[url]http://mersenne-aries.sili.net/exponent.php?exponentdetails=6597233[/url]

k = 1423 × 10659179161

[URL="http://mersenne-aries.sili.net/exponent.php?exponentdetails=52654237"]M52654237[/URL]
factor: 15207934150978277088314271047
digits: 29
bits: 93.619
k = 17 × 131 × 149 × 281 × 1433 × 5741 × 188261

Another prime k
 

Found via mfaktc 0.18:
M(2,054,449) has a factor: [SIZE=2]2318907894154523879 (61.0 bits)[/SIZE]
k = 564362487011 (prime)