180 413 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
30266084881	11	34.8	old
342809236169	12	38.3	2008-07-27 10:49:43
3887886781244700205183062769	28	91.7	2019-11-22 06:04:27
7917453386449776112405541689	28	92.7	2016-10-04 13:08:27

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	211 / 1566

Estimated T-Level: 30.7 ⓘ

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 (Factored)	2017-09-22	Oliver Kruse	DCC2DEBACB9C294B	3	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	DCC2DEBACB9C294B	3	166045	1	3
Verified	2019-11-22	Niels_Mache_Nextcloud	E152E0CD6650DEE1	4	113784	5	3
Verified	2019-11-23	marssystems	E152E0CD6650DEE1	4	36242	5	3
Verified	2023-08-24	USAFSS	E152E0CD6650DEE1	4	75810	5	3

P-1 factors

Date	Factor	B1	B2
2016-10-04	7917453386449776112405541689	5000000	0

History

Date	User	Type	Result
2023-08-24	Will K	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M180413/30266084881/342809236169/3887886781244700205183062769/7917453386449776112405541689 : E152E0CD6650DEE1 PRP proof power = 5 PRP: Verified Proof certified good
2019-11-23	marssystems	C-PRP	M180413/30266084881/342809236169/7917453386449776112405541689/3887886781244700205183062769 : E152E0CD6650DEE1 PRP: Verified PRP without proof (small exponent)
2019-11-22	Niels_Mache_Nextcloud	C-PRP	M180413/30266084881/342809236169/7917453386449776112405541689/3887886781244700205183062769 : E152E0CD6650DEE1 PRP: Verified PRP without proof (small exponent)
2019-11-22	Niels_Mache_Nextcloud	F-ECM	Factor: 3887886781244700205183062769 / (ECM curve 3, B1=250000, B2=25000000, Sigma=1349780402299361)
2017-10-12	kkmrkkblmbrbk	C-PRP	M180413/30266084881/342809236169/7917453386449776112405541689 : DCC2DEBACB9C294B PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M180413/known_factors : DCC2DEBACB9C294B PRP without proof (not generated)
2017-01-13	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2016-10-04	kkmrkkblmbrbk	F-PM1	Factor: 7917453386449776112405541689 / (P-1, B1=5000000)
2008-07-27	J Feitsma	F	Factor: 342809236169