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A075521 Primes p such that 4*p + (p mod 4) is also a prime. 3
7, 11, 13, 19, 31, 37, 47, 59, 67, 73, 97, 107, 151, 179, 193, 227, 271, 277, 307, 331, 359, 367, 373, 409, 433, 439, 467, 487, 499, 571, 577, 587, 599, 647, 673, 691, 709, 719, 839, 853, 907, 991, 997, 1019, 1031, 1033, 1039, 1093, 1129, 1187, 1259, 1279 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A075522(a(n)) > 1.

A010051(A075520(A049084(a(n)))) = 1. [Reinhard Zumkeller, Feb 20 2012]

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

EXAMPLE

11 is a term as 4*11+(11 mod 4) = 44+3 = 47 is prime.

MATHEMATICA

Select[Prime[Range[300]], PrimeQ[4*# + Mod[#, 4]] &] (* Vladimir Joseph Stephan Orlovsky, Feb 17 2012 *)

PROG

(Haskell)

a075521 n = a075521_list !! (n-1)

a075521_list = map a000040 $ filter ((== 1) . a010051' . a075520) [1..]

-- Reinhard Zumkeller, Feb 20 2012

CROSSREFS

Sequence in context: A176620 A059637 A059308 * A084444 A081091 A027901

Adjacent sequences:  A075518 A075519 A075520 * A075522 A075523 A075524

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Sep 19 2002

STATUS

approved

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Last modified September 19 07:06 EDT 2021. Contains 347554 sequences. (Running on oeis4.)