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A132236 Primes congruent to 29 (mod 30). 22

%I #17 Sep 08 2022 08:45:31

%S 29,59,89,149,179,239,269,359,389,419,449,479,509,569,599,659,719,809,

%T 839,929,1019,1049,1109,1229,1259,1289,1319,1409,1439,1499,1559,1619,

%U 1709,1889,1949,1979,2039,2069,2099,2129,2309,2339,2399,2459,2549,2579

%N Primes congruent to 29 (mod 30).

%C Primes ending in 9 with (SOD-1)/3 non-integer where SOD is sum of digits. - _Ki Punches_

%H Vincenzo Librandi, <a href="/A132236/b132236.txt">Table of n, a(n) for n = 1..1000</a>

%H C. K. Caldwell, <a href="http://primes.utm.edu">The Prime Pages</a>.

%H Omar E. Pol, <a href="http://www.polprimos.com">Determinacion geometrica de los numeros primos y perfectos</a>.

%F a(n) = A158850(n)*30 + 29. - Chandler

%F Intersection of A030433 and A007528. - Chandler

%t Select[Prime[Range[400]],Mod[#,30]==29&] (* _Harvey P. Dale_, Dec 25 2011 *)

%t Select[Prime[Range[1000]],MemberQ[{29},Mod[#,30]]&] (* _Vincenzo Librandi_, Aug 14 2012 *)

%o (Magma) [p: p in PrimesUpTo(3000) | p mod 30 eq 29 ]; // _Vincenzo Librandi_, Aug 14 2012

%o (PARI) is(n)=isprime(n) && n%30==29 \\ _Charles R Greathouse IV_, Jul 01 2016

%Y Cf. A000040, A039949, A132230-A132235.

%K nonn,easy

%O 1,1

%A _Omar E. Pol_, Aug 15 2007

%E Extended by _Ray Chandler_, Apr 07 2009

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Last modified May 12 16:01 EDT 2024. Contains 372482 sequences. (Running on oeis4.)