A141945 -id:A141945 - cp's OEIS frontend

A214360 Primes congruent to 23 modulo 3120613860.

23, 3120613883, 6241227743, 9361841603, 12482455463, 15603069323, 18723683183, 21844297043, 24964910903, 28085524763, 34326752483, 43688594063, 62412277223, 115462712843, 124824554423, 156030693023, 159151306883, 171633762323, 180995603903, 196598673203

Offset: 1

Reinhard Zumkeller, Jul 13 2012

nonn

A211889(9) = 3120613860;

the first 10 terms constitute row 9 of triangle A211890, an arithmetic progression of 10 primes.

Cf. A010051.

Sequences of numbers congruent 23 modulo m: A134517 m=24, A141945 m=25, A140375 m=26, A141963 m=27, A141974 m=28, A141999 m=29, A132235 m=30, A142027 m=31, A142044 m=32, A142062 m=33, A142091 m=35, A142107 m=36, A142132 m=37, A142173 m=39, A142192 m=40, A142220 m=41, A142244 m=42, A142272 m=43, A142302 m=44, A142324 m=45, A142374 m=47, A142405 m=48, A142433 m=49, A142490 m=51, A142518 m=52, A142553 m=53, A142617 m=55, A142650 m=56, A142679 m=57, A142750 m=59, A142790 m=60, A142821 m=61, A142902 m=63, A142935 m=64, A140844 m=210.

a214360 n = a214360_list !! (n-1)
a214360_list = [x | k <- [0..], let x = 3120613860*k+23, a010051' x == 1]

select(isprime,[seq(23+i*3120613860,i=0..1000)]); # Robert Israel, Jun 07 2015

Select[Range[23, 2 10^11, 3120613860], PrimeQ] (* Vincenzo Librandi, Jun 07 2015 *)

is(n)=isprime(n) && n%3120613860==23 \\ Charles R Greathouse IV, Jul 02 2016

a(n) ~ 658414080n log n. - Charles R Greathouse IV, Jul 02 2016

A244774 Prime numbers ending in the prime number 73.

Original entry on oeis.org

73, 173, 373, 673, 773, 1373, 1873, 1973, 2273, 2473, 3373, 3673, 4073, 4273, 4373, 4673, 4973, 5273, 5573, 6073, 6173, 6373, 6473, 6673, 7573, 7673, 7873, 8273, 8573, 9173, 9473, 9973, 10273, 10973, 11173, 11273, 12073, 12373, 12473, 12973, 13873

Offset: 1

Vincenzo Librandi, Jul 07 2014

Also primes of the form 100*k+73. Subsequence of A141885, A141945.

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A141885, A141945.

Cf. similar sequences listed in A244763.

[n: n in PrimesUpTo(14000) | n mod 100 eq 73];

Select[Prime[Range[5, 6000]], Take[IntegerDigits[#], -2]=={7, 3} &]

select(x->(x % 100)==73, primes(2000)) \\ Michel Marcus, Jul 07 2014

A244766 Prime numbers ending in the prime number 23.

Original entry on oeis.org

23, 223, 523, 823, 1123, 1223, 1423, 1523, 1723, 1823, 2423, 3023, 3323, 3623, 3823, 3923, 4423, 4523, 4723, 5023, 5323, 5623, 5923, 6323, 6823, 7523, 7723, 7823, 8123, 8423, 8623, 8923, 9323, 9623, 9923, 10223, 10723, 11423, 11923, 12323, 12823, 12923

Offset: 1

Vincenzo Librandi, Jul 06 2014

Also primes of the form 100*n+23. Subsequence of A105854, A141945.

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A105854, A141945.

Cf. similar sequences listed in A244763.

[n: n in PrimesUpTo(16000) | n mod 100 eq 23];

Select[Prime[Range[5, 6000]], Take[IntegerDigits[#], -2]=={2, 3} &]

select(x->(x % 100)==23, primes(2000)) \\ Michel Marcus, Jul 06 2014

A256177 Primes congruent to {8, 13, 18, 23} mod 25.

Original entry on oeis.org

13, 23, 43, 73, 83, 113, 163, 173, 193, 223, 233, 263, 283, 293, 313, 373, 383, 433, 443, 463, 523, 563, 593, 613, 643, 673, 683, 733, 743, 773, 823, 863, 883, 983, 1013, 1033, 1063, 1093, 1123, 1163, 1193, 1213, 1223, 1283, 1373, 1423, 1433, 1483, 1493

Offset: 1

Arkadiusz Wesolowski, Mar 18 2015

nonn

Union of A141933, A141937, A141941, and A141945.

These primes cannot be written as the sum of a triangular number and a square.

Cf. A141933, A141937, A141941, A141945.

[p: p in PrimesUpTo(1493) | p mod 25 in {8, 13, 18, 23}];

Select[Prime@Range[283], MemberQ[{8, 13, 18, 23}, Mod[#, 25]] &]

cp's OEIS Frontend

A214360 Primes congruent to 23 modulo 3120613860.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Haskell

Maple

Mathematica

PARI

Formula

A244774 Prime numbers ending in the prime number 73.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Magma

Mathematica

PARI

A244766 Prime numbers ending in the prime number 23.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Magma

Mathematica

PARI

A256177 Primes congruent to {8, 13, 18, 23} mod 25.

Views

Author

Keywords

Comments

Crossrefs

Programs

Magma

Mathematica