PARI's commands

[kar_bon]

Originally Posted by 3.14159

By mods, I mean, the mods that visit here the most often. (Karsten, etc.)

I've got enough open work to do and will not waste my CPU-time for the search of lonesome 70k-digit primes unless they'll close some holes or new n-ranges in my Riesel DataBase!

[science_man_88]

yeah I may only do factoring as what I was given as dates says lucas lehmer test for one exponent wouldn't finish in almost 4 years.

[3.14159]

Originally Posted by Karsten

I've got enough open work to do and will not waste my CPU-time for the search of lonesome 70k-digit primes unless they'll close some holes or new n-ranges in my Riesel DataBase!

Could have just said, "No, thanks, I'm busy."

This was unnecessarily rude.

Also: Since you're not willing to aid in the search for smaller prime numbers: Would you be willing to aid in the search for a 257920-digit prime?

[kar_bon]

No, thanks, I'm busy.

[3.14159]

Originally Posted by Karsten

No, thanks, I'm busy.

What range are you working on at the moment?

[3.14159]

Sieved up to 1.467 * 10¹² for k * 15661¹⁵⁶⁶¹ + 1. Approximately 1 in 25 candidates are remaining.

Most of what I am going to do is sievework, for now.

The next three searches are going to be prime k-b-b searches, or item 15.

Maybe I will look for item 16: Number, square, and fourth.

The smallest example = 2:

3, 5, 17.

Followed by 4: 17, 257, 65537.

[3.14159]

Sample search in PARI:

64951 and 4218502501 and 17795763342506250001 are primes
68041 and 4629441601 and 21431729527810560001 are primes
78691 and 6192116101 and 38342301795879210001 are primes
78901 and 6225210001 and 38753239544100000001 are primes
79537 and 6325975297 and 40017963445602287617 are primes
80287 and 6445841797 and 41548876459060505617 are primes
80677 and 6508616977 and 42362094940275384577 are primes
83047 and 6896638117 and 47563617303064029457 are primes
83617 and 6991635457 and 48882966349596327937 are primes
85147 and 7249841317 and 52560199107180611857 are primes
86077 and 7409077777 and 54894433490817106177 are primes
91807 and 8428341637 and 71036942733131156497 are primes
92221 and 8504528401 and 72327003306406560001 are primes
92467 and 8549961157 and 73101835769108856337 are primes
92641 and 8582169601 and 73653635043164160001 are primes
92767 and 8605530757 and 74055159592461931537 are primes
95971 and 9210240901 and 84828537436032810001 are primes
96181 and 9250592401 and 85573459750937760001 are primes
100927 and 10186057477 and 103755766904375490577 are primes
101917 and 10386871057 and 107887090333970555137 are primes
103657 and 10744566337 and 115445705748704464897 are primes
105997 and 11235152017 and 126228640822628864257 are primes
106747 and 11394708517 and 129839382164602922257 are primes
107251 and 11502562501 and 132308944066406250001 are primes
109267 and 11939058757 and 142541123979220267537 are primes
112087 and 12563271397 and 157835788169551788817 are primes
114661 and 13146915601 and 172841389793523360001 are primes

[CRGreathouse]

Originally Posted by 3.14159

Maybe I will look for item 16: Number, square, and fourth.

This is the one that amuses me the most. You could use a nice sieve for this form.

[3.14159]

Originally Posted by CRGreathouse

This is the one that amuses me the most. You could use a nice sieve for this form.

I wonder how that would work...

Oh. Right. kmin, kmax, multiplier(n), pmax.

[CRGreathouse]

What's your record for that form, anyway?

Originally Posted by 3.14159

I wonder how that would work...

Oh. Right. kmin, kmax, multiplier(n), pmax.

nmin, nmax, and pmax I'd think. You only have one variable in the expression... right?

[3.14159]

Originally Posted by CRGreathouse

What's your record for that form, anyway?

Number, square, and fourth? 211 digits, for the largest number, the fourth power.

Originally Posted by CRGreathouse

nmin, nmax, and pmax I'd think. You only have one variable in the expression... right?

I normally choose the multiplier and k-range.