2 083 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
7269671	7	22.8	old
10856096517744407116404211624899190239961	41	133.0	old
33238449683055064143681661670215555980671	41	134.6	2008-10-12 12:35:11
524884547083708093294722786627819274995093174051233	51	168.5	2019-10-11 13:57:45
4188332412064506725391133958916461731585439326430544722593471	61	201.4	2020-09-06 20:48:13

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	63944 / 105362

Estimated T-Level: 58.0 ⓘ

TF below 2^188 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	FE2333B014294F75	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	FE2333B014294F75	3	0	1	3
Verified (Factored)	2017-12-07	ATH	FE2333B014294F75	3	1994	1	3
Verified (Factored)	2019-10-11	Fan Ming	DD8CCEE33EC860C1	4	630	5	3
Verified (Factored)	2019-10-12	Chang Chia-Tche	DD8CCEE33EC860C1	4	1931	5	3
Verified (Factored)	2020-04-17	Oliver Kruse	DD8CCEE33EC860C1	4	1568	5	3
Verified	2020-09-07	atrench	DD8CCEE33EC860C1	5	1621	5	3
Verified	2020-09-07	jvang	DD8CCEE33EC860C1	5	305	5	3

History

Date	User	Type	Result
2024-04-21	Ethan O'Connor	NF-PM1	B1=650000000
2024-04-19	masser	NF-PM1	B1=100000000000, B2=236039575394272650
2020-09-07	jvang	C-PRP	M2083/7269671/10856096517744407116404211624899190239961/33238449683055064143681661670215555980671/524884547083708093294722786627819274995093174051233/4188332412064506725391133958916461731585439326430544722593471 : DD8CCEE33EC860C1 PRP: Verified PRP without proof (small exponent)
2020-09-07	atrench	C-PRP	M2083/7269671/10856096517744407116404211624899190239961/33238449683055064143681661670215555980671/524884547083708093294722786627819274995093174051233/4188332412064506725391133958916461731585439326430544722593471 : DD8CCEE33EC860C1 PRP: Verified PRP without proof (small exponent)
2020-09-06	Ryan Propper	F-ECM	Factor: 4188332412064506725391133958916461731585439326430544722593471 / (ECM curve 1, B1=850000000, B2=15892628251516, Sigma=15245150150811379750)
2020-04-17	Oliver Kruse	C-PRP	M2083/7269671/10856096517744407116404211624899190239961/33238449683055064143681661670215555980671/524884547083708093294722786627819274995093174051233 : DD8CCEE33EC860C1 PRP: Verified PRP without proof (small exponent)
2019-10-12	Chang Chia-Tche	C-PRP	M2083/7269671/10856096517744407116404211624899190239961/33238449683055064143681661670215555980671/524884547083708093294722786627819274995093174051233 : DD8CCEE33EC860C1 PRP: Verified PRP without proof (small exponent)
2019-10-11	Fan Ming	C-PRP	M2083/7269671/10856096517744407116404211624899190239961/33238449683055064143681661670215555980671/524884547083708093294722786627819274995093174051233 : DD8CCEE33EC860C1 PRP: Verified PRP without proof (small exponent)
2019-10-11	Ryan Propper	F-ECM	Factor: 524884547083708093294722786627819274995093174051233 / (ECM curve 1, B1=110000000)
2017-12-07	ATH	C-PRP	M2083/7269671/10856096517744407116404211624899190239961/33238449683055064143681661670215555980671 : FE2333B014294F75 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M2083/7269671/10856096517744407116404211624899190239961/33238449683055064143681661670215555980671 : FE2333B014294F75 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2083/known_factors : FE2333B014294F75 PRP without proof (not generated)
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=50000000000, E=12
2008-10-12	-Anonymous-	F-ECM	Factor: 33238449683055064143681661670215555980671