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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A214773 Primes such that all pairwise sums are squarefree. 1
2, 3, 11, 19, 59, 83, 127, 163, 199, 227, 271, 311, 383, 419, 443, 811, 911, 919, 1063, 1163, 1171, 1319, 1427, 1559, 2099, 2143, 2543, 2683, 2999, 3259, 4519, 5099, 5171, 5711, 5783, 6211, 6719, 8111, 8219, 9203, 11003, 12227, 12511, 12659, 13259, 13883 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n+1) is the smallest prime p > a(n) such that all sums a(i)+p, i-1..n are squarefree. All odd terms = 3 mod 4.

The sequence is apparently infinite.

LINKS

Zak Seidov, Table of n, a(n) for n = 1..1000

MATHEMATICA

sumsSqFree[t_, p_] := And @@ SquareFreeQ /@ (t + p); t = {2}; Do[p = NextPrime[t[[-1]]]; While[! sumsSqFree[t, p], p = NextPrime[p]]; AppendTo[t, p], {50}]; t (* T. D. Noe, Jul 30 2012 *)

CROSSREFS

Cf. A005117, A077224, A214735.

Sequence in context: A085902 A051083 A051097 * A235618 A076201 A129668

Adjacent sequences:  A214770 A214771 A214772 * A214774 A214775 A214776

KEYWORD

nonn

AUTHOR

Zak Seidov, Jul 28 2012

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 24 01:29 EDT 2019. Contains 323528 sequences. (Running on oeis4.)