34 703 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
520336783	9	29.0	old
591583089065421750092804568143767	33	108.9	2018-11-19 07:10:31
47839575643367781966001817984021327801	38	125.2	2022-07-16 14:04:07

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	964 / 4588

Estimated T-Level: 36.1 ⓘ

TF below 2^115 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	4D338452BD4E7202	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	4D338452BD4E7202	1	8389	1	3
Verified (Factored)	2018-11-19	ATH	8214730B0E457B24	2	14088	5	3
Verified (Factored)	2018-11-19	kkmrkkblmbrbk	8214730B0E457B24	2	12201	5	3
Verified	2022-07-16	mnd9	8214730B0E457B24	3	10739	5	3

P-1 factors

Date	Factor	B1	B2
2022-07-16	47839575643367781966001817984021327801	2000000000	2000000000

History

Date	User	Type	Result
2022-08-06	nordi	NF-PM1	B1=2000000000, B2=404642322534450
2022-07-16	mnd9	C-PRP	M34703/520336783/591583089065421750092804568143767/47839575643367781966001817984021327801 : 8214730B0E457B24 PRP: Verified PRP without proof (small exponent)
2022-07-16	nordi	F-PM1	Factor: 47839575643367781966001817984021327801 / (P-1, B1=2000000000)
2018-11-19	kkmrkkblmbrbk	C-PRP	M34703/520336783/591583089065421750092804568143767 : 8214730B0E457B24 PRP: Verified PRP without proof (small exponent)
2018-11-19	ATH	C-PRP	M34703/520336783/591583089065421750092804568143767 : 8214730B0E457B24 PRP: Verified PRP without proof (small exponent)
2018-11-19	Niels_Mache_Nextcloud	F-ECM	Factor: 591583089065421750092804568143767 / (ECM curve 1, B1=1000000, B2=100000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M34703/520336783 : 4D338452BD4E7202 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M34703/520336783 : 4D338452BD4E7202 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M34703/520336783 : 4D338452BD4E7202 PRP without proof (not generated)
2016-10-21	kkmrkkblmbrbk	NF-PM1	B1=200000000, B2=5000000000, E=12