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-   -   Merry Christmas and a prime! (M50 related) (https://www.mersenneforum.org/showthread.php?t=22837)

ATH 2018-01-03 18:26

New entry on the GIMPS primegaps list:

[CODE]
M(1398269) Nov 13 1996
M(2976221) Aug 24 1997 +284 days
M(3021377) Jan 27 1998 +156 days
M(6972593) Jun 1 1999 +490 days
M(13466917) Nov 14 2001 +897 days
M(20996011) Nov 17 2003 +733 days
M(24036583) May 15 2004 +180 days
M(25964951) Feb 18 2005 +279 days
M(30402457) Dec 15 2005 +300 days
M(32582657) Sep 4 2006 +263 days
M(43112609) Aug 23 2008 +719 days
M(37156667) Sep 6 2008 +14 days
M(42643801) Jun 4 2009 +271 days
M(57885161) Jan 25 2013 +1331 days
M(74207281) Jan 7 2016 +1077 days
M(77232917) Dec 26 2017 +719 days
------------------------------------------
+7713 days (=514.2 days average)
[/CODE]

New "countup" timer from the discovery at 4pm PST on Dec 26th:

[url]https://www.timeanddate.com/countdown/to?iso=20171226T1600&p0=137&msg=M77%2C232%2C917&ud=1&font=cursive[/url]

[url]http://www.mersenneforum.org/showpost.php?p=475197&postcount=108[/url]



There was a few more periods recently where we caught up to the:
"[B]All exponents below M(xxxxxxxx) tested at least once[/B]" before the next prime was discovered.

The next period will start shortly, there are very few left to first time check below 77232917:
[B]Countdown to first time checking all exponents below M(77 232 917): 604 (249 available)[/B]


[CODE]
Periods with completed first time checks below known primes:

2017-10-05 to 2017-12-26 (82 days)
2015-10-04 to 2016-01-07 (95 days)
2012-09-05 to 2013-01-25 (142 days)
2001-07-25 to 2001-11-14 (112 days)
1998-09-26 to 1999-06-01 (248 days)
-----------------------------------
679 days (out of 7713 days)


2017-12-26 Prime M(77232917) discovered! 16 discovered 15 tested
2017-10-05 All exponents below M(74207281) tested at least once. 15 discovered 15 tested
2016-01-07 Prime M(74207281) discovered! 15 discovered 14 tested
2015-10-04 All exponents below M(57885161) tested at least once. 14 discovered 14 tested
2013-01-25 Prime M(57885161) discovered!! 14 discovered 13 tested
2012-09-05 All exponents below M(43112609) tested at least once. 13 discovered 13 tested
2012-09-05 All exponents below M(42643801) tested at least once. 13 discovered 12 tested
2010-12-25 All exponents below M(37156667) tested at least once. 13 discovered 11 tested
2010-12-25 All exponents below M(32582657) tested at least once. 13 discovered 10 tested
2010-07-29 All exponents below M(30402457) tested at least once. 13 discovered 9 tested
2009-04-12 Prime M(42643801) discovered!! 13 discovered 8 tested
2009-04-08 All exponents below M(25964951) tested at least once. 12 discovered 8 tested
2009-02-23 All exponents below M(24036583) tested at least once. 12 discovered 7 tested
2008-09-06 Prime M(37156667) discovered!! 12 discovered 6 tested
2008-08-23 Prime M(43112609) discovered!! 11 discovered 6 tested
2008-07-04 All exponents below M(20996011) tested at least once. 10 discovered 6 tested
2006-09-04 Prime M(32582657) discovered!! 10 discovered 5 tested
2005-12-15 Prime M(30402457) discovered!! 9 discovered 5 tested
2005-02-18 Prime M(25964951) discovered!! 8 discovered 5 tested
2004-10-03 All exponents below M(13466917) tested at least once. 7 discovered 5 tested
2004-05-15 Prime M(24036583) discovered!! 7 discovered 4 tested
2003-11-17 Prime M(20996011) discovered!! 6 discovered 4 tested
2001-11-14 Prime M(13466917) discovered!! 5 discovered 4 tested
2001-07-25 All exponents below M(6972593) tested at least once. 4 discovered 4 tested
1999-06-01 Prime M(6972593) discovered!! 4 discovered 3 tested
1998-09-26 All exponents below M(3021377) tested at least once. 3 discovered 3 tested
1998-09-19 All exponents below M(2976221) tested at least once. 3 discovered 2 tested
1998-01-27 Prime M(3021377) discovered!! 3 discovered 1 tested
1997-10-11 All exponents below M(1398269) tested at least once. 2 discovered 1 tested
1997-08-28 All exponents below M(1257787) tested at least once.
1997-08-24 Prime M(2976221) discovered!! 2 discovered 0 tested
1997-03-28 All exponents below M(859433) tested at least once.
1997-01-15 All exponents below M(756839) tested at least once.
1996-11-13 Prime M(1398269) discovered!! 1 discovered 0 tested
[/CODE]

rudy235 2018-01-03 18:29

1 Attachment(s)
[QUOTE=Madpoo;476202]Fixed.[/QUOTE]


Thanks!

[ATTACH]17459[/ATTACH]

Madpoo 2018-01-03 18:30

[QUOTE=petrw1;476205]I'd be curious to know how many others missed out on the glory by starting and subsequently abandoning an LL test on this exponent.

I recall a few MP's ago that the Exponent Status report listed all previous assignments.[/QUOTE]

I was interested to see when I looked that nobody had actually ever started an assignment on this only to have it expire.

True confession time though... to help deflect any suspicion on this exponent, I created a bogus assignment for it, even going so far as to backdate it to a time before it was actually found to be prime, and updating it sometimes to make it look like it was in progress. :smile:

heliosh 2018-01-03 18:32

Can't wait for a new numberphile video :smile:

What a prime to be alive.

chalsall 2018-01-03 18:33

[QUOTE=Madpoo;476209]I was interested to see when I looked that nobody had actually ever started an assignment on this only to have it expire.[/QUOTE]

Out of interest, what Category was it when assigned? Sounds to me like possibly the new assignment rules are working out well.

[QUOTE=Madpoo;476209]True confession time though... :smile:[/QUOTE]

You sneaky SysAdmin you! :wink:

ATH 2018-01-03 18:38

No twin prime as reported earlier:

2^77232917-3 is not prime. RES64: 6F0CC152285F2E9F. Wg8: F9C5D09F,00000000

No factors below 1.5 * 10[sup]13[/sup]




Factor of (2[sup]77232917[/sup] + 1)/3: 3460697185562027




Factors of the Perfect Number+1:
2[sup]77232916[/sup]*(2[sup]77232917[/sup]-1) + 1: 7,11,11587

Madpoo 2018-01-03 18:53

[QUOTE=chalsall;476211]Out of interest, what Category was it when assigned? Sounds to me like possibly the new assignment rules are working out well.
[/QUOTE]

I think it was category 1 at the time (and still would be now). It was assigned on Dec 18 @ 00:47 UTC

Looks like the category 1 range for that day was 76693902-79200492

DanielBamberger 2018-01-03 19:05

Does one of you know what are the first 12 (and last 12) decimal digits of the new prime?

JeppeSN 2018-01-03 19:08

[QUOTE=DanielBamberger;476219]Does one of you know what are the first (and last) decimal digits of the new prime?[/QUOTE]

It would be 467333183359...669762179071. /JeppeSN

vasyannyasha 2018-01-03 19:09

[QUOTE=DanielBamberger;476219]Does one of you know what are the first 12 (and last 12) decimal digits of the new prime?[/QUOTE]
467333183359...069762179071

MacPrime 2018-01-03 19:16

The king is dead, long live the king.

Congrats to [B][I]Jon Pace[/I][/B], who made the race.


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