login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A086085 Primes p such that p+floor(Sqrt(p)) is prime. 5
2, 5, 19, 37, 41, 47, 71, 103, 151, 167, 197, 277, 331, 349, 401, 419, 487, 499, 577, 593, 607, 617, 619, 683, 701, 811, 829, 907, 911, 937, 941, 947, 953, 1031, 1061, 1451, 1493, 1511, 1627, 1657, 1669, 1789, 1831, 1847, 1949, 1973, 2161, 2309, 2333, 2341 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

EXAMPLE

a(3)=19 because 19 is prime and 19 + (floor(Sqrt(19)) = 19 + (floor(4.358898944)) = 19 + 4 = 23 which is prime.

MATHEMATICA

f[n_]:=Floor[Sqrt[n]]+n; lst={}; Do[p=Prime[n]; If[PrimeQ[f[p]], AppendTo[lst, p]], {n, 7!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Feb 25 2010]

CROSSREFS

Sequence in context: A092946 A090700 A105889 * A138250 A077323 A184435

Adjacent sequences:  A086082 A086083 A086084 * A086086 A086087 A086088

KEYWORD

nonn

AUTHOR

Chuck Seggelin (barkeep(AT)plastereddragon.com), Jul 08 2003

EXTENSIONS

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 31 2008

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 16 14:07 EST 2012. Contains 205930 sequences.