300 973 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
863074990369	12	39.7	old
3744911477395044193	19	61.7	2013-12-24 09:29:53
13946337005994335136086639	26	83.5	2021-11-02 13:32:19
20825351437069076572519153	26	84.1	2017-09-13 16:22:38

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	449 / 640

Estimated T-Level: 28.5 ⓘ

TF below 2^90 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	DCD95A71D7359F42	3	0	1	3
Verified (Factored)	2017-10-12	Oliver Kruse	DCD95A71D7359F42	3	105757	1	3
Verified (Factored)	2017-12-11	ATH	DCD95A71D7359F42	3	31014	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	F7FF75E321128A03	3	116616	5	3
Verified	2021-11-02	SRJ2877	F7FF75E321128A03	4	224562	5	3

History

Date	User	Type	Result
2024-02-23	Denial140	NF-PM1	B1=10000000, B2=206662045590
2024-02-22	Denial140	NF-PM1	B1=10000000
2023-03-13	Denial140	NF-PM1	B1=1000000, B2=65871826020
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2021-11-02	qprime	CERT	PRP Certification Proof certified good
2021-11-02	SRJ2877	C-PRP	M300973/863074990369/3744911477395044193/13946337005994335136086639/20825351437069076572519153 : F7FF75E321128A03 PRP proof power = 5 PRP: Verified Proof certified good
2021-11-02	nordi	F-ECM	Factor: 13946337005994335136086639 / (ECM curve 79, B1=250000, B2=36750000, Sigma=3492159820664151)
2021-04-30	nordi	NF-PP1	Start=6/5, B1=10000000, B2=1010000000
2021-04-23	nordi	NF-PP1	Start=2/7, B1=10000000, B2=1010000000
2020-04-17	Oliver Kruse	C-PRP	M300973/863074990369/3744911477395044193/20825351437069076572519153 : F7FF75E321128A03 PRP: Verified (Factored) PRP without proof (small exponent)
2017-12-11	ATH	C-PRP	M300973/863074990369/3744911477395044193/20825351437069076572519153 : DCD95A71D7359F42 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-12	Oliver Kruse	C-PRP	M300973/863074990369/3744911477395044193/20825351437069076572519153 : DCD95A71D7359F42 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M300973/known_factors : DCD95A71D7359F42 PRP without proof (not generated)
2017-09-13	Ismo Laitela	F-ECM	Factor: 20825351437069076572519153 / (ECM curve 13, B1=250000, B2=25000000)
2013-12-24	Richard B. Woods	F-ECM	Factor: 3744911477395044193