mersenneforum.org - fond of a factor? Urn yourself to become remains

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- - fond of a factor? Urn yourself to become remains (https://www.mersenneforum.org/showthread.php?t=13977)

[QUOTE=kracker;319601]The biggest factor I have is
18164039969328095522036298121273856953
Exponent=[URL="http://www.mersenne.org/report_exponent/?exp_lo=53324207"]53324207[/URL]
Bit Level=123.77

Yeah, P-1 of course :smile:
...Found quite a while ago though, heh by my laptop.[/QUOTE]

[URL="http://www.mersenne.ca/exponent.php?factordetails=18164039969328095522036298121273856953"]S1 too[/URL]! Nice find!

I found a TF factor in less than 13 minutes (wish they were all that fast):
[CODE]
got assignment: exp=[URL="http://www.mersenne.ca/exponent.php?exponentdetails=60330379"]60330379[/URL] bit_min=70 bit_max=73 (27.75 GHz-days)
Starting trial factoring M60330379 from 2^70 to 2^73 (27.75 GHz-days)
k_min = 9784387568340
k_max = 78275100557045
Using GPU kernel "barrett76_mul32"
class | candidates | time | ETA | avg. rate | SievePrimes | CPU wait
96/4620 | 3.57G | 34.979s | 9h06m | 101.95M/s | 7434 | 2.25%
M60330379 has a factor: 7796005832769103194769
found 1 factor for M60330379 from 2^70 to 2^73 (partially tested) [mfaktc 0.19 barrett76_mul32]
tf(): total time spent: [B]12m 59.980s[/B]
[/CODE]

M33981841 has a factor: 443174522098036005337 [TF:68:69*:mfakto 0.12-Win barrett15_75]
M33969223 has a factor: 303371866484685283463 [TF:68:69*:mfakto 0.12-Win barrett15_75]
M33570463 has a factor: 371149646254495501577 [TF:68:69*:mfakto 0.12-Win barrett15_75]

Kracker, the * mean partially tested, right?

[QUOTE=firejuggler;319634]Kracker, the * mean partially tested, right?[/QUOTE]

Yeah I think so, should I fully test it?

I don't think they need full test, noone will bother with these exponents in the future. For such high exponents and bitlevels, once a factor is found the exponent is forgotten. I don't full test them, anyhow, when I found a factor.

And the 0.7% speedup is worth missing a potential second factor? I don't think so. :no:

Ah, I see.

M33554501 has a factor: 474399666665717488391 [TF:68:69*:mfakto 0.12-Win barrett15_75]
M33591083 has a factor: 319291795341306602569 [TF:68:69*:mfakto 0.12-Win barrett15_75]
M33824533 has a factor: 323303457724858544951 [TF:68:69*:mfakto 0.12-Win barrett15_75]

3 today so far, heh more than usual.

Nice "stage-2" found, not terrible high, but remarkable because TF missed it by only a few couples of prime candidates:

M59168051 F-PM1 12582068973364790994337
only 73 bits and a [SUB]little bit[/SUB]... :razz:

k=2^4*3*11*19*2767*[B]3830347[/B]
the B1/B2 used (default P95 values): 555000/11238750, so not even a difficult one... [SIZE=2][/SIZE]

M64312097 has a factor: 1193158778036005925513 70 bits.

A lucky week, four factors for small exponents, all found by P-1 with B1=25000000, B2=1000000000. Nothing remarkable about any of them, apart from one being found in stage 1 which I don't have often in this range.

M511171 has a factor: 266998244095654643023390393393, 98 bits
M511439 has a factor: 2186799313429158965622453983, 91 bits
M511633 has a factor: 50392350975337586383793, 76 bits
M512507 has a factor: 22486400320827680813033, 75 bits

And as a bonus, one P-1 factor up in the active ranges.
M59264501 has a factor: 2653474548638029644824309417, 92 bits

Hadn't had a P-1 success for a while, until yesterday evening: 2072093725551089765095534553 is a factor of M59014499. 90.743 bits and prime. [TEX]k = 2^2 \times 37 \times 383 \times 4397 \times 115361 \times 610583[/TEX]. This was found in Stage 2, but just beyond the B1-limit of 550,000. The B2-limit was 10,725,000, about 17-1/2 times what would have been needed.