97 613 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
151300151	9	27.2	old
5423963959	10	32.3	2008-08-26 20:11:53
130157590693596548527	21	66.8	2011-01-23 10:06:33
64164573431546940521972630767	29	95.7	2021-04-29 19:08:41
49854421657596719681578073515217281	35	115.3	2017-01-09 00:11:38

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	397 / 1566

Estimated T-Level: 31.3 ⓘ

TF below 2^99 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	4507D04EDD124E2E	4	0	1	3
Verified (Factored)	2017-09-22	Oliver Kruse	4507D04EDD124E2E	4	0	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	4507D04EDD124E2E	4	11350	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	A5D5FC7A3DC6248E	4	74059	5	3
Verified	2021-04-29	mnd9	A5D5FC7A3DC6248E	5	4170	5	3
Verified	2021-04-30	XZT	A5D5FC7A3DC6248E	5	37652	5	3

P-1 factors

Date	Factor	B1	B2
2017-01-09	49854421657596719681578073515217281	100000000	2000000000

History

Date	User	Type	Result
2023-05-31	JacobZ	NF-PM1	B1=1100000000, B2=1104590793816510
2021-06-29	ATH	NF-PP1	Start=111/11, B1=50000000, B2=5000000000
2021-04-30	XZT	C-PRP	M97613/151300151/5423963959/130157590693596548527/49854421657596719681578073515217281/64164573431546940521972630767 : A5D5FC7A3DC6248E PRP: Verified PRP without proof (small exponent)
2021-04-29	mnd9	C-PRP	M97613/151300151/5423963959/130157590693596548527/64164573431546940521972630767/49854421657596719681578073515217281 : A5D5FC7A3DC6248E PRP: Verified PRP without proof (small exponent)
2021-04-29	nordi	F-PP1	Start=6/5, B1=40000000, B2=2000000000, Factor: 64164573431546940521972630767
2021-04-23	nordi	NF-PP1	Start=2/7, B1=40000000, B2=2000000000
2020-04-17	Oliver Kruse	C-PRP	M97613/151300151/5423963959/130157590693596548527/49854421657596719681578073515217281 : A5D5FC7A3DC6248E PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M97613/151300151/5423963959/130157590693596548527/49854421657596719681578073515217281 : 4507D04EDD124E2E PRP: Verified PRP without proof (small exponent)
2017-09-21	Oliver Kruse	C-PRP	M97613/151300151/5423963959/130157590693596548527/49854421657596719681578073515217281 : 4507D04EDD124E2E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M97613/151300151/5423963959/130157590693596548527/49854421657596719681578073515217281 : 4507D04EDD124E2E PRP without proof (not generated)
2017-01-09	kkmrkkblmbrbk	F-PM1	Factor: 49854421657596719681578073515217281 / (P-1, B1=100000000, B2=2000000000, E=12)
2011-01-23	James Hintz	F-ECM	Factor: 130157590693596548527
2008-08-26	-Anonymous-	F	Factor: 5423963959