8 783 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 6 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
228359	6	17.8	old
46912673033	11	35.4	old
178874244247	12	37.4	old
34938786884895059426078183	26	84.9	old
2427225872126925200442364062463	31	100.9	old
93392608936292328935016901172993	32	106.2	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	8203 / 16550

Estimated T-Level: 47.5 ⓘ

TF below 2^153 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	3D114B2ABCD28861	6	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	3D114B2ABCD28861	6	0	1	3
Verified	2017-12-07	ATH	3D114B2ABCD28861	6	8099	1	3
Verified	2020-04-17	Oliver Kruse	44CAF04CC1E6B8C6	6	3542	5	3
Verified	2024-07-01	kkmrkkblmbrbk	44CAF04CC1E6B8C6	6	3704	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8783/178874244247/228359/2427225872126925200442364062463/34938786884895059426078183/46912673033/93392608936292328935016901172993 : 44CAF04CC1E6B8C6 PRP: Verified PRP without proof (small exponent)
2023-08-06	JacobZ	NF-PM1	B1=66000000000, B2=254680416808818000
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8783/228359/46912673033/178874244247/34938786884895059426078183/2427225872126925200442364062463/93392608936292328935016901172993 : 44CAF04CC1E6B8C6 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M8783/228359/46912673033/178874244247/34938786884895059426078183/2427225872126925200442364062463/93392608936292328935016901172993 : 3D114B2ABCD28861 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M8783/228359/46912673033/178874244247/34938786884895059426078183/2427225872126925200442364062463/93392608936292328935016901172993 : 3D114B2ABCD28861 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8783/known_factors : 3D114B2ABCD28861 PRP without proof (not generated)