15 913 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
95479	5	16.5	old
18951969263	11	34.1	2008-08-26 19:58:47
29723415311	11	34.8	2008-08-26 19:58:47
4057610553122165536408768239523812031	37	121.6	2021-12-24 08:20:37

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	1386 / 4588

Estimated T-Level: 36.5 ⓘ

TF below 2^116 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	28BDB2CB865FB42E	3	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	28BDB2CB865FB42E	3	3008	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	6B91EF71A0F81285	3	13478	5	3
Verified	2021-12-24	nordi	6B91EF71A0F81285	4	2057	5	3
Verified	2021-12-24	JackBlock	6B91EF71A0F81285	4	128	5	3
Verified	2022-01-01	nordi	6B91EF71A0F81285	4	14200	5	3

History

Date	User	Type	Result
2023-05-28	JacobZ	NF-PM1	B1=6800000000, B2=28019418360433500
2023-02-12	USAFSS	NF-PM1	B1=60000000, B2=4543108760190
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2022-01-01	nordi	C-PRP	M15913/95479/18951969263/29723415311/4057610553122165536408768239523812031 : 6B91EF71A0F81285 PRP: Verified PRP without proof (small exponent)
2021-12-24	JackBlock	C-PRP	M15913/95479/18951969263/29723415311/4057610553122165536408768239523812031 : 6B91EF71A0F81285 PRP: Verified PRP without proof (small exponent)
2021-12-24	nordi	C-PRP	M15913/95479/18951969263/29723415311/4057610553122165536408768239523812031 : 6B91EF71A0F81285 PRP: Verified PRP without proof (small exponent)
2021-12-24	nordi	F-ECM	Factor: 4057610553122165536408768239523812031 / (ECM curve 4, B1=3000000, B2=300000000, Sigma=8405019059908785)
2020-04-17	Oliver Kruse	C-PRP	M15913/95479/18951969263/29723415311 : 6B91EF71A0F81285 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M15913/95479/18951969263/29723415311 : 28BDB2CB865FB42E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M15913/95479/18951969263/29723415311 : 28BDB2CB865FB42E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M15913/95479/18951969263/29723415311 : 28BDB2CB865FB42E PRP without proof (not generated)
2008-08-26	-Anonymous-	F	Factor: 29723415311
2008-08-26	-Anonymous-	F	Factor: 18951969263