83 339 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
166679	6	17.3	old
10167359	8	23.3	2008-08-26 20:11:22
202949966327	12	37.6	2008-08-26 20:11:22
206618049073	12	37.6	2008-08-26 20:11:22
116928060734159	15	46.7	2008-08-26 20:11:22
22725954519829681	17	54.3	2008-08-26 20:11:22

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	540 / 4588

Estimated T-Level: 35.6 ⓘ

TF below 2^113 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	2032E48C70A8DE14	6	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	2032E48C70A8DE14	6	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	2032E48C70A8DE14	6	74634	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	41D4DA10C76D18E4	6	19755	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	41D4DA10C76D18E4	1	76069	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	41D4DA10C76D18E4	6	63166	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M83339/166679/10167359/202949966327/206618049073/116928060734159/22725954519829681 : 41D4DA10C76D18E4
2024-01-30	masser	NF-PP1	Start=167/61, B1=25000000, B2=1475000000
2024-01-30	masser	NF-PP1	Start=6/5, B1=25000000, B2=1475000000
2024-01-29	masser	NF-PP1	Start=2/7, B1=25000000, B2=1475000000
2022-05-12	George Woltman	NF-PM1	B1=1000000000, B2=80758804676550
2022-05-12	Jorge Coveiro	C-PRP	M83339/166679 : 41D4DA10C76D18E4
2021-04-15	Seth_Tr	NF-PM1	B1=400000000, B2=76400000000
2020-04-17	Oliver Kruse	C-PRP	M83339/166679/10167359/202949966327/206618049073/116928060734159/22725954519829681 : 41D4DA10C76D18E4
2017-12-07	ATH	C-PRP	M83339/166679/10167359/202949966327/206618049073/116928060734159/22725954519829681 : 2032E48C70A8DE14
2017-10-02	kkmrkkblmbrbk	C-PRP	M83339/166679/10167359/202949966327/206618049073/116928060734159/22725954519829681 : 2032E48C70A8DE14
2017-09-21	Oliver Kruse	C-PRP	M83339/166679/10167359/202949966327/206618049073/116928060734159/22725954519829681 : 2032E48C70A8DE14
2017-09-21	Oliver Kruse	C-PRP	M83339/166679/10167359/202949966327/206618049073/116928060734159/22725954519829681 : 2032E48C70A8DE14
2016-11-08	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-08-26	-anonymous-	F-PM1	Factor: 22725954519829681
2008-08-26	-anonymous-	F	Factor: 116928060734159
2008-08-26	-anonymous-	F	Factor: 206618049073
2008-08-26	-anonymous-	F	Factor: 202949966327
2008-08-26	-anonymous-	F	Factor: 10167359