A162141 Primes p such that (p+3839)/3840 is also a prime number.

7681, 15361, 23041, 61441, 84481, 115201, 138241, 161281, 176641, 299521, 384001, 414721, 430081, 576001, 729601, 737281, 760321, 875521, 890881, 913921, 921601, 1075201, 1082881, 1198081, 1374721, 1451521, 1651201, 1720321, 1751041

Offset

1,1

Comments

Primes p such that (((((((((p+1)/2)+3)/4)+5)/6)+7)/8)+9)/10 are prime numbers.

There is no requirement of the intermediate numbers on the level ((((((((p+1)/2)+3)/4)+5)/6)+7)/8)+9

to be prime or composite.

Links

Table of n, a(n) for n=1..29.

Mathematica

lst={}; Do[p=Prime[n]; If[PrimeQ[(((((((((p+1)/2)+3)/4)+5)/6)+7)/8)+9)/10], AppendTo[lst, p]], {n, 9!}]; lst
Select[Prime[Range[200000]], PrimeQ[(#+3839)/3840]&] [by Harvey P. Dale, Dec. 13, 2010]

Crossrefs

Sequence in context: A249219 A076339 A105132 * A133859 A012082 A184026

Adjacent sequences: A162138 A162139 A162140 * A162142 A162143 A162144

Keyword

nonn,less

Author

Vladimir Joseph Stephan Orlovsky, Jun 25 2009

Extensions

Definition simplified by R. J. Mathar, Sep 23 2009

Status

approved