Brent tables reservations

[chris2be8]

This thread is to co-ordinate work on the Brent tables (a^b+1 and a^b-1 with 13<=a<=99 and product <10^255). See http://maths.anu.edu.au/~brent/factors.html for the list (but check http://www.factordb.com/ for updates not on his site).

I'm working on:
15^196+1
54^133+1
82^103-1
85^103+1

Chris K

[wblipp]

This overlaps oddperfect.org's interest in p^q-1 with p an odd prime, q a prime (also, rarely but occasionally, q composite). Here are the overlaps currently in our system

43^137-1 ready for GNFS - see composites page
43^151-1 queued for SNFS factoring by RSALS
73^127-1 ready for SNFS by RSALS, not yet queued
79^113-1 ready for SNFS by RSALS, not yet queued
83^121-1 ECM pretesting in process
89^121-1 ECM pretesting in process

[jcrombie]

Chris, William,

I'm currently taking about a one month break from the Brent composites (going to be out of the country). Will make my reservations when I get back.

[chris2be8]

Reserving:
66^130+1
44^122+1
53^116+1

Chris K

PS. 82^103-1 is done, factors in factordb.

[chris2be8]

I've finished:
15^196+1
66^130+1
85^103+1

and nearly finished 44^122+1 so it's time to reserve some more.

Reserving:
89^103+1
70^109-1
72^121-1

Chris K

[chris2be8]

Time to reserve a few more:
35^131+1
79^125+1
88^119-1
90^103-1

I'm going to avoid numbers jcrombie will get to fairly soon (50-69^n).

Chris K

[chris2be8]

I've done most of the last lot so I'll reserve:
14^203-1
90^119-1
91^103-1
91^103+1

Chris K

[jcrombie]

Reserving:

48^127+1

[chris2be8]

It's time to reserve some more:

23^175-1
44^145+1

It's taking 2-3 days per number now so 2 should be enough for a few days.

Chris

[chris2be8]

I've finished 23^175-1 and started on 44^145+1 so it's time to reserve some more:
72^109+1
75^121-1
75^121+1

Chris

[FactorEyes]

I have polynomials for these numbers:

44^151+1
79^133-1
23^187+1
58^140+1
31^166+1
72^136+1
82^127+1

Since I see no reservations for these puppies, I'll reserve them.

The polynomials were computed by jrk nearly a year ago, then placed in oak casks in an abandoned salt mine deep beneath the Nevada desert, where they were attended by a team of highly-athletic yet caring virgin high jumpers between the ages of 16 and 19.4997.

I am glad to see interest on these numbers. I know little about the ECM work done on them, other than that some has been done. I think factors of less than 10^50 are unlikely to remain, but I did find a p48 last year, and I doubt that the composites have been ECM'ed much above some small multiple of t50. However: If you have any information as to the ECM status, please share it here.

The remaining composites are getting large enough that collaboration becomes a somewhat-rewarding possibility. I have between 16 and 24 core-17 940 threads to spare, depending on Real Life and my air-conditioning.