A142244 -id:A142244

Search: a142244 -id:a142244

Displaying 1-2 of 2 results found.

page 1

A214360

Primes congruent to 23 modulo 3120613860.

+10
5

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

A211889(9) = 3120613860;

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

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

Index entries for sequences related to primes in arithmetic progressions

FORMULA

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

MAPLE

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

MATHEMATICA

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

PROG

(Haskell)

a214360 n = a214360_list !! (n-1)

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

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

CROSSREFS

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.

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Jul 13 2012

STATUS

approved

A141988

Primes congruent to 12 mod 29.

+10
1

41, 157, 331, 389, 563, 853, 911, 1201, 1259, 1433, 1549, 1607, 1723, 2129, 2477, 2593, 2767, 2999, 3347, 3463, 3637, 4159, 4217, 4391, 4507, 5087, 5261, 5783, 6073, 6131, 6247, 6421, 6653, 6827, 7001, 7349, 7523, 7639, 8161, 8219, 8741, 9437, 9901, 10133

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

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

FORMULA

{2} UNION A142244. - R. J. Mathar, Jul 20 2008

a(n) ~ 28n log n. - Charles R Greathouse IV, Jul 03 2016

MATHEMATICA

Select[Range[12, 10000, 29], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 06 2011 *)

PROG

(Magma) [ p: p in PrimesUpTo(11000) | p mod 29 eq 12 ]; // Vincenzo Librandi, Apr 07 2011

(PARI) is(n)=isprime(n) && n%29==12 \\ Charles R Greathouse IV, Jul 03 2016

CROSSREFS

Cf. A000040, A141977, A141978, A142244.

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Jul 11 2008

STATUS

approved

page 1

Search completed in 0.008 seconds