The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation. Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”). Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A077022 Values of n such that sum of first n primes squared is divisible by n-th prime. 1
 1, 6, 17, 11156, 16548 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Remainder, a(n), when sum of first n primes squared is divided by n-th prime in A072004. In A072004, in three cases, a(n)=0 that is the sum of squares of first n primes is divisible by n-th prime. Here we added two more cases when a(n)=0. a(6) > 10^11. - Giovanni Resta, Mar 07 2013 LINKS EXAMPLE 6 is OK because (p(1)^2+...+p(6)^2)/p(6)=29; 17 is OK because (p(1)^2+...+p(17)^2)/p(17)=284; 11156 is OK because (p(1)^2+...+p(11156)^2)/p(11156)=410066261; 16548 is OK because (p(1)^2+...+p(16548 )^2)/p(16548)=941945317. MATHEMATICA Module[{nn=17000, prs}, prs=Accumulate[Prime[Range[nn]]^2]; Select[Range[ nn], Divisible[prs[[#]], Prime[#]]&]] (* Harvey P. Dale, Nov 23 2013 *) CROSSREFS Cf. A072004, A077023. Sequence in context: A099436 A209482 A209341 * A074923 A093061 A264028 Adjacent sequences:  A077019 A077020 A077021 * A077023 A077024 A077025 KEYWORD nonn AUTHOR Randy L. Ekl and Zak Seidov, Oct 17 2002 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 December 6 13:45 EST 2021. Contains 349563 sequences. (Running on oeis4.)