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A162141 Primes p such that (p+3839)/3840 is also a prime number. 0
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified June 15 20:50 EDT 2019. Contains 324145 sequences. (Running on oeis4.)