ECM results and reservations

[swellman]

Reserving the following composites for ECM to t50

C211_148_116
C211_149_41
C211_149_66
C211_148_132

[swellman]

Originally Posted by swellman

I will ECM...C211_137_76 and C211_137_53 to the t50 level.

Both numbers run for 7600 curves @B1=43M, with no factors found. Releasing numbers. Thanks.

[swellman]

prp51 = 118671714253506293806214421648236802627617998799567

B1=43000000
sigma=3697783381
total of 772 curves run so far

I will continue ECM up to the full t50 on the remaining C161.

[swellman]

Originally Posted by swellman

Reserving the following composites for ECM to t50

C211_148_116
C211_149_41
C211_149_66
C211_148_132

C211_148_116 survived 7600 curves @B1=43M with no factors found. Releasing number.

[swellman]

Ryan just reported another ECM hit. See http://factordb.com/index.php?id=1000000000044726137 for the full factorization. Scary log file follows.

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is
8660520333296968026466765229346235565748559024030231699271727214399902510243896807959331579004984928668557445761746606949540739300582755090331863570764560881327765427778585403516721734958090278881993236668181942831061757749
(223 digits)
Using MODMULN [mulredc:2, sqrredc:2]
Using B1=30000000000, B2=2287343438660298, polynomial Dickson(30),
sigma=3690357484
dF=1048576, k=176, d=11741730, d2=19, i0=2536
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
6       14      35      100     311     1036    3684    13923   55617   233694
Step 1 took 161382809ms
Using 27 small primes for NTT
Estimated memory usage: 5209M
Initializing tables of differences for F took 5689ms
Computing roots of F took 149366ms
Building F from its roots took 84675ms
Computing 1/F took 32110ms
Initializing table of differences for G took 4176ms
Computing roots of G took 122402ms
Building G from its roots took 101099ms
Computing roots of G took 121003ms
...
Reducing  G * H mod F took 16847ms
Computing roots of G took 118064ms
Building G from its roots took 88965ms
Computing G * H took 15694ms
Reducing  G * H mod F took 16243ms
Computing polyeval(F,G) took 152948ms
Computing product of all F(g_i) took 555ms
Step 2 took 44233429ms
********** Factor found in step 2:
294951068738514887536552946855239450016709315051696527249
Found probable prime factor of 57 digits:
294951068738514887536552946855239450016709315051696527249
Probable prime cofactor
29362566375288648292115687567600143802366254515637240144576648329159724819719048203289914679709305876033996063505472236444945426410020476830954763880217173634509894501
has 167 digits

[swellman]

I'd like to reserve the following for ECM to t50:

C239_150_41
C165_137_50
C282_140_137
C218_137_42
C175_137_48

Thanks.

[swellman]

Originally Posted by swellman

Reserving the following composites for ECM to t50

C211_148_116
C211C161_149_41
C211_149_66
C211_148_132

All have survived 7600 curves @B1=43M with no new factors found. Releasing numbers.

[swellman]

ECM hit on the 7600th curve! The absolute last curve. Patience is a virtue after all...

prp51=111090281168868098837722942438483591759347786948097

B1=43000000

sigma=3132212140

eta: B2=240490660426

[swellman]

Originally Posted by swellman

I'd like to reserve the following for ECM to t50:

C239_150_41
C165_137_50
C282_140_137
C218_137_42
C175_137_48factored

Thanks.

With the exception of C175_137_48, all of these have survived 7600 curves of ECM @B1=43M with no factors found. Releasing numbers.

[swellman]

I would like to reserve the following numbers for ECM to t50:

C186_148_33
C216_150_44
C172_137_52
C202_138_41
C164_138_56
C178_140_114

[swellman]

p49=2241981785157541920039471348044414427337869377753
p115=4557980596387462355585858476686199843555788140547677025065122231157104799468776790779585825778858205844000297609717

Found by ECM with B1=43M, sigma=996836351.