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Forum: Charles Kusniec 2022-09-09, 00:16
Replies: 7
Views: 286
Posted By CRGreathouse
OK, I said silly things -- of course we can't...

OK, I said silly things -- of course we can't prove a conjecture stronger than Legendre at our current technology. Our best exponent is 0.525 and that's a long way from 0.5. I think what I meant is...
Forum: Information & Answers 2022-09-09, 00:12
Replies: 40
Views: 3,460
Posted By CRGreathouse
Yes, when I do that on 64-bit Windows I get the...

Yes, when I do that on 64-bit Windows I get the indicated error message. (I got a different one before I added the .bi file; it is able to find that, fortunately.)
Forum: Information & Answers 2022-09-08, 12:41
Replies: 40
Views: 3,460
Posted By CRGreathouse
I get: [path]\ld.exe: cannot find -lbig_int

I get:

[path]\ld.exe: cannot find -lbig_int
Forum: Charles Kusniec 2022-09-08, 00:46
Replies: 7
Views: 286
Posted By CRGreathouse
This should also be provable with any number of...

This should also be provable with any number of standard prime gap bounds, e.g., Dusart's.
Forum: Charles Kusniec 2022-09-08, 00:44
Replies: 7
Views: 286
Posted By CRGreathouse
A slightly stronger conjecture is that for any...

A slightly stronger conjecture is that for any sufficiently large x, there is a prime between x and x + sqrt(x)/5. A table of prime gaps suggests that this probably holds for x > 360653 and a bit of...
Forum: Information & Answers 2022-09-07, 17:53
Replies: 40
Views: 3,460
Posted By CRGreathouse
How do I get Big-Int overload.bi?

How do I get Big-Int overload.bi?
Forum: Information & Answers 2022-08-15, 21:05
Replies: 40
Views: 3,460
Posted By CRGreathouse
https://arxiv.org/abs/1807.08777 is relevant, but...

https://arxiv.org/abs/1807.08777 is relevant, but I don't know of any implementations.
Forum: Information & Answers 2022-08-15, 21:03
Replies: 40
Views: 3,460
Posted By CRGreathouse
Software for finding prime constellations

Suppose I have an admissible tuple (0, n_1, n_2, ..., n_{k-1}) and I am interested in finding instances of this constellation: numbers N such that N, N + n_1, ..., N + n_{k-1} are all prime. Is there...
Forum: Homework Help 2021-04-09, 19:35
Replies: 42
Views: 10,988
Posted By CRGreathouse
Let s =...

Let s = 33765749444723236975938383549571694531728722961303548619829414070181324100 so your number is s^2 + 1.

Is there some special significance to s or s^2 + 1?
Forum: Factoring 2021-04-01, 14:25
Replies: 3
Views: 1,023
Posted By CRGreathouse
Yes, your users have too much flexibility. They...

Yes, your users have too much flexibility. They could generate numbers until they find one with enough small factors (< 30 digits) to make finding the big one easy.
Forum: Factoring 2021-04-01, 14:12
Replies: 3
Views: 1,023
Posted By CRGreathouse
If large enough quantum computers come to pass,...

If large enough quantum computers come to pass, then all numbers of a certain size will be easy to factor. This size will depend on various factors of the quantum computer, but in the worst case (for...
Forum: Computer Science & Computational Number Theory 2021-03-30, 01:59
Replies: 5
Views: 3,990
Posted By CRGreathouse
I believe they each verified this independently...

I believe they each verified this independently back in 2010 (maybe 2009). When I say "independently", I mean that they wrote software implementations independently of each other -- they used the...
Forum: YAFU 2021-03-24, 04:02
Replies: 62
Views: 43,538
Posted By CRGreathouse
But that would be a non-random way (admittedly,...

But that would be a non-random way (admittedly, one that would only allow a certain number of bits of non-randomness to be smuggled in), and I do doubt that this sort of trickery was used.
Forum: YAFU 2021-03-24, 00:43
Replies: 62
Views: 43,538
Posted By CRGreathouse
My feelings match Paul's.

My feelings match Paul's.
Forum: Lounge 2021-03-23, 18:37
Replies: 37
Views: 4,458
Posted By CRGreathouse
There are lots of synthetic nucleotides out there...

There are lots of synthetic nucleotides out there beyond the standard ones.
Forum: Science & Technology 2021-03-19, 19:49
Replies: 274
Views: 36,221
Posted By CRGreathouse
I had an extremely sore arm for ~48 hours after...

I had an extremely sore arm for ~48 hours after my first shot (Pfizer) and the same, but for less than a day, following the second shot. My wife, who got the same vaccine, was practically knocked out...
Forum: Hardware 2021-03-19, 03:25
Replies: 16
Views: 2,560
Posted By CRGreathouse
:goodposting: Benefits of ECC to the project...

:goodposting:

Benefits of ECC to the project are dramatically reduced thanks to GEC. It's great if you want it for some other purpose.
Forum: Miscellaneous Math 2021-03-18, 01:09
Replies: 14
Views: 4,017
Posted By CRGreathouse
I'm not sure exactly what you were trying to do,...

I'm not sure exactly what you were trying to do, but feel free to drop me a PM. I'm an Editor-in-Chief (and Trustee) at the OEIS. I don't know that there's anything useful we can do for you but I'd...
Forum: GpuOwl 2021-03-12, 19:26
Replies: 16
Views: 3,072
Posted By CRGreathouse
How much larger? (We can't see the settings.)

How much larger? (We can't see the settings.)
Forum: Miscellaneous Math 2021-03-04, 03:14
Replies: 15
Views: 2,285
Posted By CRGreathouse
There are \pi(10^7) - \pi(10^6) = 586,081 in...

There are \pi(10^7) - \pi(10^6) = 586,081 in total.
Forum: Factoring 2021-03-03, 19:08
Replies: 18
Views: 5,251
Posted By CRGreathouse
I think it's really exciting to see someone...

I think it's really exciting to see someone trying (slightly) new things in this space -- since the 90s all we've been doing is tweaking the number field sieve. But he's pretty straightforward about...
Forum: Information & Answers 2021-02-24, 20:24
Replies: 20
Views: 2,315
Posted By CRGreathouse
The answer isn't at all obvious from what you'd...

The answer isn't at all obvious from what you'd read there, so don't get down on yourself.

The way this project had run for a long time was that we'd first run a battery of preliminary tests --...
Forum: Software 2021-02-24, 05:17
Replies: 8
Views: 1,833
Posted By CRGreathouse
PARI/GP is good, and since PARI is a C library it...

PARI/GP is good, and since PARI is a C library it transitions well into that language for higher-performance computing when needed (you can use gp2c if you want to live in both worlds).
Forum: Miscellaneous Math 2021-02-19, 16:57
Replies: 72
Views: 7,604
Posted By CRGreathouse
See A109461 (https://oeis.org/A109461) and...

See A109461 (https://oeis.org/A109461) and Mersenne Primes: Early history (https://primes.utm.edu/mersenne/#hist).
Forum: Miscellaneous Math 2021-02-19, 15:50
Replies: 72
Views: 7,604
Posted By CRGreathouse
...but you don't know the 165-year-old...

...but you don't know the 165-year-old Lucas-Lehmer test. For comparison, this (http://www.idaillinois.org/digital/collection/stc/id/22/) is what cars looked like 165 years ago, and this...
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