The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A109136 Even numbers that are not congruent to 1 mod 3 nor are squares nor are the sum of a prime and a square of a prime. 1
 2, 8, 18, 24, 74, 170, 614, 704, 1010, 1164, 15054, 21774, 24476 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS We conjecture that every sufficiently large even number is congruent to 1 mod 3, or is a square, or is a sum of a prime and a square of a prime. The numbers listed here are believed to be the only exceptions. This has been verified up to 100000000. LINKS MATHEMATICA okQ[n_]:=Mod[n, 3]!=1&&!IntegerQ[Sqrt[n]]&&Count[n-Prime[Range[ PrimePi[n]]], _?(PrimeQ[Sqrt[#]]&)]==0; Select[Range[0, 25000, 2], okQ] (* Harvey P. Dale, Nov 08 2012 *) CROSSREFS Sequence in context: A320662 A171613 A306394 * A295522 A065131 A192157 Adjacent sequences:  A109133 A109134 A109135 * A109137 A109138 A109139 KEYWORD nonn AUTHOR Dmytro Taranovsky (dmytro(AT)mit.edu), Aug 17 2005 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 7 05:20 EDT 2020. Contains 334837 sequences. (Running on oeis4.)