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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
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
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Sep 19 2002
STATUS
approved

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)