3 803 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
7607	4	12.9	old
3816820103	10	31.8	old
5905762367	10	32.5	old
14627251822871	14	43.7	old
31288297617961	14	44.8	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	15707 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^167 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	151F359DFF7C0FF7	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	151F359DFF7C0FF7	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	151F359DFF7C0FF7	5	70	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	1A278248769FFC2B	5	2667	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	1A278248769FFC2B	1	263	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	1A278248769FFC2B	5	1500	5	3

History

Date	User	Type	Result
2025-05-06	masser	NF-PP1	Start=107/23, B1=2600000000, B2=2597400000000
2024-04-01	masser	NF-PM1	B1=77000000000, B2=122424523715894400
2024-02-03	Wentao Huang	C-PRP	M3803/7607/3816820103/5905762367/14627251822871/31288297617961 : 1A278248769FFC2B
2022-05-12	Jorge Coveiro	C-PRP	M3803/7607 : 1A278248769FFC2B
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M3803/7607/3816820103/5905762367/14627251822871/31288297617961 : 1A278248769FFC2B
2017-12-07	ATH	C-PRP	M3803/7607/3816820103/5905762367/14627251822871/31288297617961 : 151F359DFF7C0FF7
2017-10-02	kkmrkkblmbrbk	C-PRP	M3803/7607/3816820103/5905762367/14627251822871/31288297617961 : 151F359DFF7C0FF7
2017-09-21	Oliver Kruse	C-PRP	M3803/known_factors : 151F359DFF7C0FF7
2009-10-25	Carsten Kossendey	F-PM1	Factor: 78475799257426915042242169641877160892440336662417
2005-03-20	-anonymous-	F	Factor: 44925134325769
2005-03-20	-anonymous-	F-PM1	Factor: 1746812790549928222308309700060581193