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Forum: Other Mathematical Topics 2022-08-10, 21:49
Replies: 5
Views: 184
Posted By JeppeSN
You will be interested in the thread Integers n...

You will be interested in the thread Integers n for which the digit sum of n exceeds the digit sum of n^5 (https://math.stackexchange.com/questions/1401871/) in which I once wrote comments. /JeppeSN
Forum: Other Mathematical Topics 2022-08-10, 19:49
Replies: 7
Views: 569
Posted By JeppeSN
For these, the exponent must be a power of two,...

For these, the exponent must be a power of two, so you would check:

62^64+1; 126^128+1; 254^256+1; 510^512+1; ...

The first many of them are already proven composite by Generalized Fermat prime...
Forum: And now for something completely different 2022-08-06, 20:23
Replies: 76
Views: 10,092
Posted By JeppeSN
For people who know and love some mathematics,...

For people who know and love some mathematics, but are not specialists, there is an easy-to-read paper from 1974 about how they discovered this: Ian Richards, On the incompatibility of two...
Forum: Math 2022-08-02, 15:30
Replies: 115
Views: 21,392
Posted By JeppeSN
Thumbs up Kellen Shenton found the PRP 1196^131072 +...

Kellen Shenton found the PRP 1196^131072 + 595^131072, to appear on PRP Top.

As soon as it is verified that 1196 is minimal for this exponent, OEIS will be updated.

/JeppeSN
Forum: And now for something completely different 2021-12-15, 17:30
Replies: 151
Views: 38,634
Posted By JeppeSN
Plus There is a Numberphile video out today where Neil...

There is a Numberphile video out today where Neil Sloane describes these efforts:
https://www.youtube.com/watch?v=vKlVNFOHJ9I
/JeppeSN
Forum: Charles Kusniec 2021-11-22, 23:20
Replies: 16
Views: 2,108
Posted By JeppeSN
Lightbulb You forgot 228 in your first list/table. /JeppeSN

You forgot 228 in your first list/table. /JeppeSN
Forum: Charles Kusniec 2021-11-22, 22:39
Replies: 16
Views: 2,108
Posted By JeppeSN
For what it's worth, an attempt to format the...

For what it's worth, an attempt to format the tables.

-----------------------
Table I:
Tally Composite C d_s [C] C-(d_s [C]+1) C-1 C+1 C+(d_s [C]+1)
1 12 4 ...
Forum: Factoring 2021-11-09, 22:40
Replies: 17
Views: 2,218
Posted By JeppeSN
Thanks. Note that a lot of ECM (elliptic-curve...

Thanks. Note that a lot of ECM (elliptic-curve factorization) had already been attempted on these two numbers even before their values were disclosed. For that reason I expect it to be quite...
Forum: Factoring 2021-11-09, 22:24
Replies: 17
Views: 2,218
Posted By JeppeSN
Plus The b such that b^2048+1 is prime, are 1, 150,...

The b such that b^2048+1 is prime, are 1, 150, 2558, 4650, 4772, 11272, 13236, ... (https://oeis.org/A088361).

The game here is to skip forward in this sequence to the first values b such that...
Forum: Factoring 2021-11-09, 12:56
Replies: 17
Views: 2,218
Posted By JeppeSN
Exclamation It is not "my page". The page is on a BOINC...

It is not "my page". The page is on a BOINC server (https://primes.utm.edu/bios/page.php?id=5191) set up by user stream (https://mersenneforum.org/member.php?u=14491) who runs this project. /JeppeSN
Forum: Factoring 2021-11-08, 23:56
Replies: 17
Views: 2,218
Posted By JeppeSN
Thumbs up Thank you for providing some insightful numbers. ...

Thank you for providing some insightful numbers.

Clearly, I am not saying this is the cheapest way to find a megaprime (for that, you can join PrimeGrid's Proth Prime Mega subproject, or their...
Forum: Factoring 2021-11-08, 22:02
Replies: 17
Views: 2,218
Posted By JeppeSN
Lightbulb Help factor some b such that b^4096+1 are mega(PR)primes

While Mersenne primes can be thought of as primes that precede a perfect power, a so-called generalized Fermat prime is defined (here) as a prime following a perfect power, so a prime of form b^N+1...
Forum: And now for something completely different 2021-04-21, 07:16
Replies: 72
Views: 13,454
Posted By JeppeSN
Good one! Maybe it will be clear when the...

Good one!

Maybe it will be clear when the PRP Top entry becomes visible, but what types of PRP tests has this one "passed", as of now?

/JeppeSN
Forum: Miscellaneous Math 2021-04-20, 14:03
Replies: 12
Views: 1,873
Posted By JeppeSN
I guess it is true that every odd factor of...

I guess it is true that every odd factor of Phi(n,b)/gcd(Phi(n,b),n) (with b≥2) (where Phi is the cyclotomic polynomial, and gcd is greatest common divisor) is of the form kn+1. /JeppeSN
Forum: Riesel Prime Search 2021-02-19, 08:48
Replies: 307
Views: 62,386
Posted By JeppeSN
Arrow This beats an idea of simply doing 10^999999 +...

This beats an idea of simply doing 10^999999 + k*10^(333333-m) ± 1 with m very small. Such a prime would be simpler to test than Serge Batalov's, but not quite as close to 10^999999. /JeppeSN
Forum: FermatSearch 2021-02-16, 12:31
Replies: 12
Sticky: gfn results
Views: 11,120
Posted By JeppeSN
I added the information to...

I added the information to https://primes.utm.edu/primes/page.php?id=131760#comments

It had already appeared on http://www.prothsearch.com/GFNfacs.html

/JeppeSN
Forum: Math 2021-01-18, 15:43
Replies: 8
Views: 2,188
Posted By JeppeSN
Thumbs down The official policy of OEIS disagrees. On...

The official policy of OEIS disagrees.

On https://oeis.org/SubmitB.html you can read:



So just because it is faster to calculate a sequence than to fetch it over the internet, does not mean...
Forum: FermatSearch 2021-01-17, 23:57
Replies: 345
Views: 95,506
Posted By JeppeSN
You may be aware that PrimeGrid found:...

You may be aware that PrimeGrid found: https://primes.utm.edu/primes/page.php?id=131583
27*2^7963247 + 1 divides Fermat F(7963245)
/JeppeSN
Forum: FermatSearch 2020-11-19, 10:33
Replies: 65
Views: 14,386
Posted By JeppeSN
Wink And the difference between F0 and pi is negative....

And the difference between F0 and pi is negative. /JeppeSN
Forum: FermatSearch 2020-11-19, 00:41
Replies: 65
Views: 14,386
Posted By JeppeSN
MM82589933 = 2^(2^82589933-1) - 1 is a prime. ...

MM82589933 = 2^(2^82589933-1) - 1 is a prime.

Now please prove me wrong - any prime factor of that number would be the largest prime ever found.

/JeppeSN
Forum: FermatSearch 2020-10-12, 22:20
Replies: 345
Views: 95,506
Posted By JeppeSN
Lightbulb But before that, Ravi Fernando showed me: ...

But before that, Ravi Fernando showed me:

Let p = k * 2^n + 1 be a prime that divides a Fermat number. From the formula, we can write k = -1/2^n (mod p). But the order of 2 (mod p) is a power of...
Forum: FermatSearch 2020-10-12, 20:10
Replies: 345
Views: 95,506
Posted By JeppeSN
Thumbs up Cool. It should be added as a User comment on...

Cool. It should be added as a User comment on https://primes.utm.edu/primes/page.php?id=131289. If you have at least one prime on primes.utm.edu, you can do it. Ask me if you do not know how to do...
Forum: FermatSearch 2020-10-11, 12:18
Replies: 345
Views: 95,506
Posted By JeppeSN
Thumbs up Very good. Thank you. So in this case the number...

Very good. Thank you. So in this case the number will be carefully checked and double checked. But I also wrote to Ryan P. to make sure future primes are not forgotten. /JeppeSN
Forum: FermatSearch 2020-10-10, 20:49
Replies: 345
Views: 95,506
Posted By JeppeSN
Dear rynp, Congratulations with this...

Dear rynp,

Congratulations with this remarkable discovery!

Has the above PFGW run completed by now? I see no User comment mentioning the GF(-, 7) divisor on...
Forum: Math 2020-10-06, 20:28
Replies: 5
Views: 2,466
Posted By JeppeSN
This part is explained in...

This part is explained in https://en.wikipedia.org/wiki/Second_Hardy%E2%80%93Littlewood_conjecture – if the First Hardy–Littlewood conjecture is true, then this implies that the second...
Showing results 1 to 25 of 180

 
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