34 381 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
12308399	8	23.6	old
409657591393	12	38.6	2008-08-26 19:59:33
161756025538329152837719	24	77.1	2010-05-03 02:13:35
754970945906930193586878952903	30	99.3	2018-09-23 22:20:30

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	1098 / 4588

Estimated T-Level: 36.2 ⓘ

TF below 2^115 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	C3AE77BD68AA6198	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	C3AE77BD68AA6198	3	0	1	3
Verified (Factored)	2017-12-07	ATH	C3AE77BD68AA6198	3	12097	1	3
Verified	2018-09-24	ANONYMOUS	760CD9C99E705F62	4	11435	5	3
Verified	2018-09-25	Oliver Kruse	760CD9C99E705F62	4	21948	5	3

History

Date	User	Type	Result
2022-08-02	nordi	NF-PM1	B1=2000000000, B2=405781640974710
2022-06-16	nordi	NF-PM1	B1=2000000000
2018-09-25	Oliver Kruse	C-PRP	M34381/12308399/409657591393/161756025538329152837719/754970945906930193586878952903 : 760CD9C99E705F62 PRP: Verified PRP without proof (small exponent)
2018-09-24	ANONYMOUS	C-PRP	M34381/12308399/409657591393/161756025538329152837719/754970945906930193586878952903 : 760CD9C99E705F62 PRP: Verified PRP without proof (small exponent)
2018-09-23	Niels_Mache_Nextcloud	F-ECM	Factor: 754970945906930193586878952903 / (ECM curve 1, B1=1000000, B2=100000000)
2017-12-07	ATH	C-PRP	M34381/12308399/409657591393/161756025538329152837719 : C3AE77BD68AA6198 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M34381/12308399/409657591393/161756025538329152837719 : C3AE77BD68AA6198 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M34381/12308399/409657591393/161756025538329152837719 : C3AE77BD68AA6198 PRP without proof (not generated)
2016-10-21	kkmrkkblmbrbk	NF-PM1	B1=200000000, B2=5000000000, E=12
2010-05-03	James Hintz	F-ECM	Factor: 161756025538329152837719
2008-08-26	-Anonymous-	F	Factor: 409657591393