2 347 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
205803737	9	27.6	old
17833088057	11	34.1	old
23874503408349657640060077253301231	35	114.2	old
47387666081806935002124547582754328449	38	125.2	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	40830 / 40830
60	260000000	17405 / 105362

Estimated T-Level: 55.8 ⓘ

TF below 2^180 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	F166DA21B9221F03	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	F166DA21B9221F03	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	F166DA21B9221F03	4	643	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	1DEA3A5BC4D33120	4	1072	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	1DEA3A5BC4D33120	4	697	5	3

History

Date	User	Type	Result
2025-04-07	masser	NF-PP1	Start=193/19, B1=4400000000, B2=4395600000000
2024-04-24	masser	NF-PM1	B1=100000000000, B2=16897610680991040
2024-02-03	Wentao Huang	C-PRP	M2347/205803737/17833088057/23874503408349657640060077253301231/47387666081806935002124547582754328449 : 1DEA3A5BC4D33120
2020-04-17	Oliver Kruse	C-PRP	M2347/205803737/17833088057/23874503408349657640060077253301231/47387666081806935002124547582754328449 : 1DEA3A5BC4D33120
2017-12-07	ATH	C-PRP	M2347/205803737/17833088057/23874503408349657640060077253301231/47387666081806935002124547582754328449 : F166DA21B9221F03
2017-10-02	kkmrkkblmbrbk	C-PRP	M2347/205803737/17833088057/23874503408349657640060077253301231/47387666081806935002124547582754328449 : F166DA21B9221F03
2017-09-21	Oliver Kruse	C-PRP	M2347/known_factors : F166DA21B9221F03
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=50000000000, E=12
2009-10-25	Carsten Kossendey	F	Factor: 3670116164380669009