A075522 -id:A075522 - cp's OEIS frontend

A075521 Primes p such that 4*p + (p mod 4) is also a prime.

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

Offset: 1

Reinhard Zumkeller, Sep 19 2002

nonn

A075522(a(n)) > 1.

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

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

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

a075521 n = a075521_list !! (n-1)
a075521_list = map a000040 $ filter ((== 1) . a010051' . a075520) [1..]
-- Reinhard Zumkeller, Feb 20 2012

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

A075523 First nonprime reached when starting with the n-th prime p and iterating the map k -> 4*k+(p mod 4), or -1 if no integer is ever reached.

Original entry on oeis.org

10, 15, 21, 511, 767, 213, 69, 319, 95, 117, 511, 597, 165, 175, 767, 213, 959, 245, 4351, 287, 1173, 319, 335, 357, 1557, 405, 415, 1727, 437, 453, 511, 527, 549, 559, 597, 2431, 629, 655, 671, 693, 46079, 725, 767, 3093, 789, 799, 847, 895, 3647, 917

Offset: 1

Reinhard Zumkeller, Sep 19 2002

nonn

Cf. A075520, A075522, A075524.

cp's OEIS Frontend

A075521 Primes p such that 4*p + (p mod 4) is also a prime.

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A075523 First nonprime reached when starting with the n-th prime p and iterating the map k -> 4*k+(p mod 4), or -1 if no integer is ever reached.

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