Mersenne Milestone - Page 2

davar55 · 2010-12-25, 18:36

Since you had ready access to that factorization of 2^613-1,
I now could double-check both my assertion that it was not
prime as well as the correct functioning of my self-built integer
arbitrary precision calculator, which is currently in mothballs
since I'm on a different computer now. Thanks for the factors.

davar55 · 2010-12-25, 21:32

As a result of not having to actually factor 2^613-1 on my own,
I was able to relocate my YJ-Conjecture,

It starts at post#11 of thread 41st Known Mersenne Prime Reported!! in the Lounge.

This connects to a (possible) proof of the Infinitude of the Mersenne Primes,
currently in progress. That would be the automatic corollary.

I'll have to check what I put into the wiki and wikipedia first ...

Can't get in, forgot account names and passwords. Later.

KingKurly · 2010-12-26, 01:23

Quote:

Originally Posted by Mini-Geek

Actually, its factors are:

Code:

44599476833089207
332817722770314187794325446534549089
2290082526100134480992198124951512750039139339635155094272008280546850886939008711730865851616722892614369047154769105713048457413017

But I don't get the point either.

Ooooooooops. I did M631, not M613 as requested. I was wondering how I was so far off the mark.

davar55 · 2011-01-22, 00:26

My calculator confirms the correct products producing M613 and M631.

Thanks.

davar55 · 2011-04-22, 18:59

As of April 22, 2011 A.D., Alex Rodriquez,
popularly known as ARod (by way of some
mathematically based name reduction known
as nicknaming) is on the verge of hitting
his 618th lifetime homer. This puts him
squarely among the top HR sluggers of
all time. Since 618 is not prime, the
Mersenne number value of 2^618-1 is
factorable. ARod's slow approach to
the next Mersenne exponent, namely 1279,
will undoubtedly take a while. In the
meantime, Yankee fans can hopefully look
forward eventually to homers 650 (maybe
this season) and if he stays healthy 700
and maybe higher.

davar55 · 2011-07-23, 14:57

As of today, New York Yankee shortstop Derek Jeter has
pounded out 3012 career hits with the Yankees. This is
within reach of the Mersenne exponent 3217, but not
this season. We look forward to Derek's prime accomplishment.

davar55 · 2012-07-26, 18:11

Derek has, as of today, gotten 3215 lifetime hits.
Barring injury to the Yankee star, he should reach
the Mersenne milestone of 3217 hits very soon.

BTW of course 2^3217 - 1 is prime, and is
the 18th Mersenne prime.

The next Mersenne prime exponent is 4253, which
may take a while for him to reach. The record number
of lifetime hits is 4256.

davar55 · 2012-08-05, 00:09

I missed it.

In the last few days, Derek Jeter smacked his 3217th hit,
and none of us was even there to witness it.

What's next, not finding M48 in 2012?

2012-07-26, 18:11	#18
davar55 May 2004 New York City 10213₈ Posts	Derek has, as of today, gotten 3215 lifetime hits. Barring injury to the Yankee star, he should reach the Mersenne milestone of 3217 hits very soon. BTW of course 2^3217 - 1 is prime, and is the 18th Mersenne prime. The next Mersenne prime exponent is 4253, which may take a while for him to reach. The record number of lifetime hits is 4256. Last fiddled with by davar55 on 2012-07-26 at 18:18 Reason: added last prgph

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2010-12-25, 18:36	#12
davar55 May 2004 New York City 4235₁₀ Posts	Since you had ready access to that factorization of 2^613-1, I now could double-check both my assertion that it was not prime as well as the correct functioning of my self-built integer arbitrary precision calculator, which is currently in mothballs since I'm on a different computer now. Thanks for the factors.

2010-12-25, 21:32	#13
davar55 May 2004 New York City 5·7·11² Posts	As a result of not having to actually factor 2^613-1 on my own, I was able to relocate my YJ-Conjecture, It starts at post#11 of thread 41st Known Mersenne Prime Reported!! in the Lounge. This connects to a (possible) proof of the Infinitude of the Mersenne Primes, currently in progress. That would be the automatic corollary. I'll have to check what I put into the wiki and wikipedia first ... Can't get in, forgot account names and passwords. Later.

2011-01-22, 00:26	#15
davar55 May 2004 New York City 5·7·11² Posts	My calculator confirms the correct products producing M613 and M631. Thanks.

2011-04-22, 18:59	#16
davar55 May 2004 New York City 5×7×11² Posts	As of April 22, 2011 A.D., Alex Rodriquez, popularly known as ARod (by way of some mathematically based name reduction known as nicknaming) is on the verge of hitting his 618th lifetime homer. This puts him squarely among the top HR sluggers of all time. Since 618 is not prime, the Mersenne number value of 2^618-1 is factorable. ARod's slow approach to the next Mersenne exponent, namely 1279, will undoubtedly take a while. In the meantime, Yankee fans can hopefully look forward eventually to homers 650 (maybe this season) and if he stays healthy 700 and maybe higher.

2011-07-23, 14:57	#17
davar55 May 2004 New York City 5×7×11² Posts	As of today, New York Yankee shortstop Derek Jeter has pounded out 3012 career hits with the Yankees. This is within reach of the Mersenne exponent 3217, but not this season. We look forward to Derek's prime accomplishment.

2012-08-05, 00:09	#19
davar55 May 2004 New York City 5×7×11² Posts	I missed it. In the last few days, Derek Jeter smacked his 3217th hit, and none of us was even there to witness it. What's next, not finding M48 in 2012?