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A132230 Primes congruent to 1 (mod 30). 22
31, 61, 151, 181, 211, 241, 271, 331, 421, 541, 571, 601, 631, 661, 691, 751, 811, 991, 1021, 1051, 1171, 1201, 1231, 1291, 1321, 1381, 1471, 1531, 1621, 1741, 1801, 1831, 1861, 1951, 2011, 2131, 2161, 2221, 2251, 2281, 2311, 2341, 2371, 2521, 2551, 2671 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Also primes congruent to 1 (mod 15). - N. J. A. Sloane, Jul 11 2008
Primes ending in 1 with (SOD-1)/3 integer where SOD is sum of digits. - Ki Punches, Feb 04 2009
LINKS
C. K. Caldwell, The Prime Pages.
FORMULA
a(n) = A111175(n)*30 + 1. - Ray Chandler, Apr 07 2009
Intersection of A030430 and A002476. - Ray Chandler, Apr 07 2009
EXAMPLE
From Muniru A Asiru, Nov 01 2017: (Start)
31 is a prime and 31 = 30*1 + 1;
61 is a prime and 61 = 30*2 + 1;
151 is a prime and 151 = 30*5 + 1;
211 is a prime and 211 = 30*7 + 1;
241 is a prime and 241 = 30*8 + 1;
271 is a prime and 271 = 30*9 + 1.
(End)
MAPLE
select(isprime, [seq(i, i=1..1000, 30)]); # Robert Israel, Jan 19 2016
MATHEMATICA
Select[Range[1, 3000, 30], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Feb 19 2012 *)
Select[Prime[Range[400]], Mod[#, 30]==1&] (* Harvey P. Dale, May 21 2021 *)
PROG
(PARI) is(n)=isprime(n) && n%30==1 \\ Charles R Greathouse IV, Jul 01 2016
(GAP) A132230 := Filtered(Filtered([1..10^6], n -> n mod 30 = 1), IsPrime); # Muniru A Asiru, Nov 01 2017
CROSSREFS
Sequence in context: A195744 A331324 A326896 * A136066 A282326 A114991
KEYWORD
nonn,easy
AUTHOR
Omar E. Pol, Aug 15 2007
EXTENSIONS
Edited by Ray Chandler, Apr 07 2009
STATUS
approved

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Last modified April 21 14:48 EDT 2024. Contains 371874 sequences. (Running on oeis4.)