15 739 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
168627647	9	27.3	old
662915222009	12	39.3	2008-08-26 19:58:46
8508927323826791	16	52.9	2008-08-26 19:58:46
6402822397968242369	19	62.5	2008-08-29 02:24:37
64895190524604148223	20	65.8	2008-08-29 02:24:37

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	3837 / 4588

Estimated T-Level: 39.2 ⓘ

TF below 2^125 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	D20B109323914632	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	D20B109323914632	5	0	1	3
Verified	2017-12-07	ATH	D20B109323914632	5	15334	1	3
Verified	2020-04-17	Oliver Kruse	37DA1E47AD57B322	5	2065	5	3
Verified	2024-07-01	kkmrkkblmbrbk	37DA1E47AD57B322	5	9404	5	3

P-1 factors

Date	Factor	B1	B2
2024-06-01	6402822397968242369	100000000000	120417199046794656

History

Date	User	Type	Result
2025-01-09	masser	NF-PP1	Start=6/5, B1=180000000, B2=179820000000
2024-12-29	masser	NF-PP1	Start=172/47, B1=180000000, B2=179820000000
2024-12-14	masser	NF-PP1	Start=2/7, B1=180000000, B2=179820000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M15739/168627647/6402822397968242369/64895190524604148223/662915222009/8508927323826791 : 37DA1E47AD57B322 PRP: Verified PRP without proof (small exponent)
2024-06-01	Anton Repko	F-PM1	Factor: 6402822397968242369 / (P-1, B1=100000000000, B2=120417199046794650)
2023-05-29	JacobZ	NF-PM1	B1=6800000000, B2=28019418360433500
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M15739/168627647/662915222009/8508927323826791/6402822397968242369/64895190524604148223 : 37DA1E47AD57B322 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M15739/168627647/662915222009/8508927323826791/6402822397968242369/64895190524604148223 : D20B109323914632 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M15739/168627647/662915222009/8508927323826791/6402822397968242369/64895190524604148223 : D20B109323914632 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M15739/168627647/662915222009/8508927323826791/6402822397968242369/64895190524604148223 : D20B109323914632 PRP without proof (not generated)
2008-08-29	-Anonymous-	F-ECM	Factor: 64895190524604148223
2008-08-29	-Anonymous-	F-ECM	Factor: 6402822397968242369
2008-08-26	-Anonymous-	F-PM1	Factor: 8508927323826791
2008-08-26	-Anonymous-	F	Factor: 662915222009