M31 216091

2004-03-12, 02:06

This thread is for the discussion of general Mersenne primes contiguous to M31.

2004-03-12, 02:09

Rank_k_n_____________digits_provercode_year
1109 97065*2^216095-1 65057 L9 2004
1110 62431*2^216093-1 65056 L9 2004
Are both general Mersenne primes

TTn
Shane F.

2004-03-12, 02:32

Anyone interested in following up on this Mersenne find 216095:

http://groups.yahoo.com/group/primenumbers/files/RMA/

2004-05-27, 20:27

I'll be starting on the next general Mersenne prime, from here, for a little while to keep up my score.

2004-05-29, 15:09

16371 216098 is prime

2005-05-11, 18:12

55847 216100 is prime!

TTn

2005-05-16, 17:28

48609*2^216101-1
22311*2^216103-1
are prime!

Moving quickly!

2005-06-03, 17:31

6213 216107 is prime!

Update of the sequence:
1 216091-1
62431 216093-1
97065 216095-1
16371 216098-1
55847 216100-1
48609 216101-1
22311 216103-1
6213 216107-1

2005-06-05, 15:45

20265 216109 is prime!

Update of the sequence:
1 216091-1
62431 216093-1
97065 216095-1
16371 216098-1
55847 216100-1
48609 216101-1
22311 216103-1
6213 216107-1
20265 216109-1

2005-06-18, 15:50

84415*2^216110-1
Yet another!

That makes 6 in just over a month!

Update of the sequence:
1 216091-1
62431 216093-1
97065 216095-1
16371 216098-1
55847 216100-1
48609 216101-1
22311 216103-1
6213 216107-1
20265 216109-1
84415 216110-1

2005-06-23, 23:18

Correcting the last prime as k = 74697, instead of k = 84415.

And a new prime:
122649*2^216111-1

Update of the contiguous sequence:
1 216091-1
62431 216093-1
97065 216095-1
16371 216098-1
55847 216100-1
48609 216101-1
22311 216103-1
6213 216107-1
20265 216109-1
74697 216110-1
122649 216111-1

2004-03-12, 02:06	#1
TTn 8,353 Posts	M31 216091 This thread is for the discussion of general Mersenne primes contiguous to M31. Last fiddled with by TTn on 2004-03-12 at 02:19

2004-03-12, 02:09	#2
TTn 6,761 Posts	Rank_k_n_____________digits_provercode_year 1109 970652^216095-1 65057 L9 2004 1110 624312^216093-1 65056 L9 2004 Are both general Mersenne primes TTn Shane F. Last fiddled with by TTn on 2004-03-12 at 02:18

2004-05-29, 15:09	#5
TTn 2·2,063 Posts	M31 16371 216098 is prime

2005-05-11, 18:12	#6
TTn 2·5·827 Posts	General Mersenne prime 55847 216100 is prime! TTn

2005-05-16, 17:28	#7
TTn 2×3×17 Posts	GM 486092^216101-1 223112^216103-1 are prime! Moving quickly!

2004-03-12, 02:32	#3
TTn 2²×3×719 Posts	Anyone interested in following up on this Mersenne find 216095: http://groups.yahoo.com/group/primenumbers/files/RMA/

2004-05-27, 20:27	#4
TTn 2·3·5²·31 Posts	I'll be starting on the next general Mersenne prime, from here, for a little while to keep up my score.

2005-06-03, 17:31	#8
TTn 10010000001₂ Posts	6213 216107 is prime! Update of the sequence: 1 216091-1 62431 216093-1 97065 216095-1 16371 216098-1 55847 216100-1 48609 216101-1 22311 216103-1 6213 216107-1 Last fiddled with by TTn on 2005-06-03 at 17:37

2005-06-05, 15:45	#9
TTn 2²·3·5·13 Posts	gm 20265 216109 is prime! Update of the sequence: 1 216091-1 62431 216093-1 97065 216095-1 16371 216098-1 55847 216100-1 48609 216101-1 22311 216103-1 6213 216107-1 20265 216109-1

2005-06-18, 15:50	#10
TTn 3²×1,109 Posts	M31 84415*2^216110-1 Yet another! That makes 6 in just over a month! Update of the sequence: 1 216091-1 62431 216093-1 97065 216095-1 16371 216098-1 55847 216100-1 48609 216101-1 22311 216103-1 6213 216107-1 20265 216109-1 84415 216110-1

2005-06-23, 23:18	#11
TTn 2283₁₀ Posts	correction/new Correcting the last prime as k = 74697, instead of k = 84415. And a new prime: 122649*2^216111-1 Update of the contiguous sequence: 1 216091-1 62431 216093-1 97065 216095-1 16371 216098-1 55847 216100-1 48609 216101-1 22311 216103-1 6213 216107-1 20265 216109-1 74697 216110-1 122649 216111-1