A106587 Sum of n-th prime squared and n-th perfect square.
5, 13, 34, 65, 146, 205, 338, 425, 610, 941, 1082, 1513, 1850, 2045, 2434, 3065, 3770, 4045, 4850, 5441, 5770, 6725, 7418, 8497, 10034, 10877, 11338, 12233, 12722, 13669, 17090, 18185, 19858, 20477, 23426, 24097, 26018, 28013, 29410, 31529, 33722
Offset: 1
Examples
a(5)=146 because 121 (fifth prime^2) + 25 (fifth square) = 146.
Links
- G. C. Greubel, Table of n, a(n) for n = 1..1000
Programs
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Magma
[NthPrime(n)^2 + n^2: n in [1..50]]; // G. C. Greubel, Sep 07 2021
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Mathematica
Table[Prime[n]^2 + n^2, {n, 50}] -
PARI
a(n) = n^2 + prime(n)^2; \\ Michel Marcus, Sep 08 2021
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Sage
[nth_prime(n)^2 + n^2 for n in (1..50)] # G. C. Greubel, Sep 07 2021
Formula
a(n) = n^2 + prime(n)^2.
Extensions
Extended by Ray Chandler, May 13 2005