[QUOTE=flashjh;293992]I remember one very large one, but it was composite... is that the one?[/QUOTE]

...Crap. That's what I get for skimming :P

Anyone know what the smallest not-fully-factored Mersenne-prime-exponent number is? (PrimeNet's database would be almost impossible to go through. James, can you implement a "Next" button on your site?)

[QUOTE=Dubslow;293993]...Crap. That's what I get for skimming :P

Anyone know what the smallest not-fully-factored Mersenne-prime-exponent number is? (PrimeNet's database would be almost impossible to go through. James, can you implement a "Next" button on your site?)[/QUOTE]

[URL="http://mersenne-aries.sili.net/exponent.php?exponentdetails=947"][COLOR=#000080]M947[/COLOR][/URL] is the smallest one that has at least 4 known factors so far, but I know M929 is not fully factored. There is likely smaller, but you'd probably need James to find it.

[QUOTE=Dubslow;293993]Anyone know what the smallest not-fully-factored Mersenne-prime-exponent number is?[/QUOTE]
See the Cunningham Project's "First Five Holes":
[URL="http://homes.cerias.purdue.edu/%7Essw/cun/champ"]http://homes.cerias.purdue.edu/~ssw/cun/champ[/URL]

2^929-1 is the smallest Mersenne Number that's not completely factored. But probably not for too long. See the reservations page:
[URL="http://homes.cerias.purdue.edu/%7Essw/cun/who"]http://homes.cerias.purdue.edu/~ssw/cun/who[/URL]

Or click below if you want to see the current five "holes" in Sid's database
[URL="http://www.factordb.com/index.php?query=2%5Ek-1&use=k&k=929&VP=on&EV=on&OD=on&CF=on&C=on&perpage=5&format=1&sent=Show"]http://www.factordb.com/...[/URL]

What's the smallest one that isn't reserved by some other project?

[QUOTE=flashjh;293965][URL="http://mersenne-aries.sili.net/exponent.php?exponentdetails=52038281"]M52038281[/URL] is my largest, so far, but it is small compared to the others reported on [URL="http://mersenne-aries.sili.net/stats.php?showuserstats=*"]James' site[/URL].[/QUOTE]

Just curious why James' site doesn't have my factor of M56226553 listed under the Top 10. Looks like it would be #3, at 126+ bits. (see post #196 in this thread)

[QUOTE=drh;294021]Just curious why James' site doesn't have my factor of M56226553 listed under the Top 10. Looks like it would be #3, at 126+ bits. (see post #196 in this thread)[/QUOTE]
Did you upload your results file to his site?

[Sun Mar 25 10:56:00 2012]
P-1 found a factor in stage #2, B1=535000, B2=5751250.
UID: wreck2002/wreck_wyl, M55970573 has a factor: 1772243243359193295946580551, AID: 88E5D86EC28A7E487811BAF66AA785F7

k = 3 * 5^2 * 643 * 743 * 193463 * 2283887
This is my first P-1 factor.

Herk, remarkably low size for remarkably high B2 saturation
[url]http://mersenne-aries.sili.net/exponent.php?factordetails=15536852122405273877641[/url]

k=2^2 × 3 × 5 × 282,239 × 9,234,991
73.7 bits
B2=9,700,000,
B2 saturation = 9,234,991/9,700,000 = 95.21%

M56355547 has a factor: 5109242810232110450137
k = 2^2 * 3 * 211 * 17903015017 = 45330434023044

M67604689 has a factor: 793400402485575837791
k = 5 * 61 * 3259 * 5903389 = 5867939149055

M67604389 has a factor: 676273206848992081873
k = 2^3 * 3 * 41 * 283 * 811 * 22147 = 5001696020424

M369111439 has a factor: 248870925861776838239
k = 337121665121 is prime

M369111331 has a factor: 2395448792646190676561
k = 2^3 * 5 * 11^2 * 227 * 761 * 3881 = 3244886557880

M91200101 has a factor: 2[COLOR=#990000]^2[/COLOR] × 3 × 11 × 41 × 127 × 429409 x p
M91200713 has a factor: 3 × 11 × 12074873471 x p
M91200743 has a factor: 23^2 × 926869513 x p
M91201171 has a factor: 2[COLOR=#990000]^2[/COLOR] × 5 × 21569 × 1335239 x p
M91204657 has a factor: 2[COLOR=#990000]^3[/COLOR] × 3 × 5 × 11 × 383 × 577 × 761 x p
M91206281 has a factor: 3[COLOR=#990000]^2[/COLOR] × 7 × 11 × 373 × 1304227 x p
M91207357 has a factor: 369391100747 x p
M91210027 has a factor: 2[COLOR=#990000]^4[/COLOR] × 13 × 41 × 1093 × 25117 x p
M91210813 has a factor: 3[COLOR=#990000]^2[/COLOR] × 17 × 787 × 2085841 x P
M91211117 has a factor: 2[COLOR=#990000]^5[/COLOR] × 5[COLOR=#990000]^2[/COLOR] × 19[COLOR=#990000]^2[/COLOR] × 61 × 20399 x P
M91211513 has a factor: 3469 × 4651 × 20353 x p


I'll spare you the other ~890 for larger exponets :)

The factors are two times more plus 1, really.