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A039949 Primes of the form 30n - 13. 33
17, 47, 107, 137, 167, 197, 227, 257, 317, 347, 467, 557, 587, 617, 647, 677, 797, 827, 857, 887, 947, 977, 1097, 1187, 1217, 1277, 1307, 1367, 1427, 1487, 1607, 1637, 1667, 1697, 1787, 1847, 1877, 1907, 1997, 2027, 2087, 2207, 2237, 2267, 2297, 2357, 2417 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
This linear form produces the most primes for n between 1 and 1000 (411/1000).
Primes congruent to 17 (mod 30). - Omar E. Pol, Aug 15 2007
Primes ending in 7 with (SOD-1)/3 non-integer where SOD is sum of digits. - Ki Punches
Or primes p such that (p mod 3) = (p mod 5) and (p mod 2) <> (p mod 3), (p > 2). - Mikk Heidemaa, Jan 19 2016
REFERENCES
C. Clawson, Mathematical Mysteries, Plenum Press, 1996, p. 173
LINKS
FORMULA
a(n) = A158648(n)*30 + 17. - Ray Chandler, Apr 07 2009
Intersection of A030432 and A007528. - Ray Chandler, Apr 07 2009
a(n) = A141860(n+1). - Zak Seidov, Apr 15 2015
MATHEMATICA
Select[Prime[Range[1000]], MemberQ[{17}, Mod[#, 30]]&] (* Vincenzo Librandi, Aug 04 2012 *)
Select[Range[17, 3000, 30], PrimeQ] (* Zak Seidov, Apr 15 2015 *)
PROG
(Magma) [p: p in PrimesUpTo(3000) | p mod 30 in [17]]; // Vincenzo Librandi, Aug 04 2012
(PARI) select(n->n%30==17, primes(500)) \\ Charles R Greathouse IV, Apr 28 2015
CROSSREFS
Sequence in context: A128468 A031374 A201792 * A220081 A229448 A155841
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
Extended by Ray Chandler, Apr 07 2009
STATUS
approved

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Last modified March 19 01:57 EDT 2024. Contains 370952 sequences. (Running on oeis4.)