199 453 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
703714563044693056037968277785991	33	109.1	2016-10-07 11:44:58

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	256 / 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	Shift
Verified (Factored)		Amdahl 6 - 1989	0E827DC4	0
Verified (Factored)		Martin Eibl	78C931934E827DC4	0
Verified (Factored)		Brian J. Beesley	78C931934E827DC4	0
Verified (Factored)		Eivind Triel	78C931934E827DC4	111537
Verified (Factored)	2016-06-01	MadPoo	78C931934E827DC4	104874

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	74083DDD9D842421	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	74083DDD9D842421	1	24280	1	3
Verified	2020-04-17	Oliver Kruse	1039E1241A2F0B84	1	120832	5	3
Verified	2023-08-24	USAFSS	1039E1241A2F0B84	1	88110	5	3

History

Date	User	Type	Result
2023-08-24	curtisc	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M199453/703714563044693056037968277785991 : 1039E1241A2F0B84 PRP proof power = 5 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-04-17	Oliver Kruse	C-PRP	M199453/703714563044693056037968277785991 : 1039E1241A2F0B84 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M199453/703714563044693056037968277785991 : 74083DDD9D842421 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M199453/703714563044693056037968277785991 : 74083DDD9D842421 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M199453/703714563044693056037968277785991 : 74083DDD9D842421 PRP without proof (not generated)
2016-11-24	kkmrkkblmbrbk	NF-PM1	B1=200000000, B2=5000000000, E=12
2016-10-07	mikr	F-ECM	Factor: 703714563044693056037968277785991 / (ECM curve 219, B1=250000, B2=25000000)
2016-06-01	MadPoo	C-LL	78C931934E827DC4
2016-02-23	Mark Rose	NF	no factor from 2^57 to 2^58
2015-12-07	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-12-07	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-08-25	NR	NF	no factor from 2^61 to 2^62
2013-10-19	alpertron	NF-PM1	B1=100000000, B2=2000000000, E=12
2013-08-04	lycorn	NF	no factor from 2^60 to 2^61
2009-02-09	axn	NF-PM1	B1=5000000, B2=200000000, E=12
2009-01-29	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-12-31	Sturle Sunde	NF	no factor from 2^58 to 2^59