is 2 31007479 - 1
has 9334182 decimal digits
takes 34.130 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-LC3ABB79F3FB169C7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27230.842065.2778%31000028675000.71712.8988%31.559266.2843%1.0065%
PrimeNet2670.958362.6866%14000050000000.64604.9823%1.604364.5456%1.8591%
GPU7227115.418264.7887%22000065000000.89723.6887%16.315466.0876%1.2988%
Difference+1+15.4239+0.4890%+90000-3632500-0.1800-0.7899%+15.2438+0.1967%+0.1967%

Known prime factors (1 factor, 91.6 bits, 0.00029539% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3100747937342624082215725830945185992891.59360215511364557766581
3 × 7 × 13 × 653 × 887 × 112289 × 3391343
2021-09-05112289339134317,716,8970.46430.5508

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2006-01-15T00:00:00ANONYMOUSv4_computers3100002867500---0.717--2.899%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-09-05T20:04:54ATHec2-P_13000001080000027P-12891.5931.675


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-31T00:00:00Net_Forcev4_computers?256--0.000--
2003-06-30T00:00:00ANONYMOUSv4_computers?259--0.001--
2005-09-22T00:00:00Team Prime Ribv4_computers?267--0.482--
2006-01-15T00:00:00ANONYMOUSv4_computers?268--0.964--
2012-05-03T06:42:00XyzzyManual testing268269--1.928--
2013-04-07T16:12:00For ResearchManual testing269270--3.856--
2018-12-03T18:41:53ramgeisManual testing270271--7.712--
2019-06-19T23:18:23LaurVManual testing271272--15.42--


ECM factoring results:
Exponent "31007479" not found


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2006-02-01T00:00:00ANONYMOUSv4_computersC3ABB79F3FB169C734.13
2013-08-27T11:56:00BruceyoyodyneC3ABB79F3FB169C734.13


PRP results:
Exponent "31007479" not found


P-1 factor-bounds graph:
B1 = 300000, B2 = 10800000 (P-1 stage 2)
B1 = 310000, B2 = 2867500 (P-1 stage 2)
B1 = 310000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
104
105
106
104
105
106
107
108
TF factor-bounds graph:
272
271
270
269
268
267
259
256
250
260
270
280
290
2100
Last modified: 2021-09-05T20:04:54+00:00