113 947 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
1728772243795914516811537	25	80.5	old
848394606902149334858094248582295527	36	119.4	2016-12-31 18:02:19

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	239 / 1566

Estimated T-Level: 30.8 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	E6B5AF67817E5DE0	2	0	1	3
Verified	2017-10-09	Chang Chia-Tche	E6B5AF67817E5DE0	2	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	E6B5AF67817E5DE0	2	30937	1	3
Verified	2020-04-17	Oliver Kruse	8AB568310B03D6D7	2	67641	5	3
Verified	2024-02-03	Wentao Huang	8AB568310B03D6D7	2	44232	5	3

P-1 factors

Date	Factor	B1	B2
2016-12-31	848394606902149334858094248582295527	100000000	0

History

Date	User	Type	Result
2024-02-03	Will Edgington	CERT	PRP Certification Proof certified good
2024-02-03	Wentao Huang	C-PRP	M113947/1728772243795914516811537/848394606902149334858094248582295527 : 8AB568310B03D6D7 PRP proof power = 5 PRP: Verified Proof certified good
2022-05-10	LordJulius	NF	no factor from 2^62 to 2^63
2022-05-10	LordJulius	NF	no factor from 2^61 to 2^62
2022-05-10	LordJulius	NF	no factor from 2^60 to 2^61
2022-05-09	LordJulius	NF	no factor from 2^59 to 2^60
2022-05-09	LordJulius	NF	no factor from 2^58 to 2^59
2022-05-09	LordJulius	NF	no factor from 2^57 to 2^58
2022-05-09	LordJulius	NF	no factor from 2^1 to 2^57
2020-04-17	Oliver Kruse	C-PRP	M113947/1728772243795914516811537/848394606902149334858094248582295527 : 8AB568310B03D6D7 PRP: Verified PRP without proof (small exponent)
2018-10-27	J.R. Allen	NF	no factor from 2^1 to 2^57
2017-10-13	kkmrkkblmbrbk	C-PRP	M113947/1728772243795914516811537/848394606902149334858094248582295527 : E6B5AF67817E5DE0 PRP: Verified PRP without proof (not generated)
2017-10-09	Chang Chia-Tche	C-PRP	M113947/known_factors : E6B5AF67817E5DE0 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M113947/1728772243795914516811537/848394606902149334858094248582295527 : E6B5AF67817E5DE0 PRP without proof (not generated)
2016-12-31	kkmrkkblmbrbk	F-PM1	Factor: 848394606902149334858094248582295527 / (P-1, B1=100000000)