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A039949 Primes of form 30n-13. +0
24
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; listen)
OFFSET

1,1

COMMENT

This linear form produces the most primes for n between 1 and 1000 (411/ 1000)

Primes congruent to 17 (mod 30). - O. E. Pol (info(AT)polprimos.com), Aug 15, 2007.

Also, for many prime numbers, a(n)=15*n^2+15*n+17 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jan 28 2009]

Primes ending in 7 with (SOD-1)/3 non-integer where SOD is sum of digits. - Ki Punches

REFERENCES

C. Clawson, Mathematical Mysteries, Plenum Press, 1996, p. 173

LINKS

O. E. Pol, Determinacion geometrica de los numeros primos y perfectos.

FORMULA

a(n) = A158648(n)*30 + 17. - Chandler

Intersection of A030432 and A007528. - Chandler

CROSSREFS

Cf. A132230-A132236.

Sequence in context: A128468 A031374 A061722 this_sequence A155841 A147058 A083296

Adjacent sequences: A039946 A039947 A039948 this_sequence A039950 A039951 A039952

KEYWORD

nonn

AUTHOR

Felice Russo (felice.russo(AT)katamail.com)

EXTENSIONS

Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Apr 07 2009

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Last modified December 5 08:23 EST 2009. Contains 170348 sequences.


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