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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

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OFFSET

1,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..1000

FORMULA

a(n) = n^2 + prime(n)^2.

EXAMPLE

a(5)=146 because 121 (fifth prime^2) + 25 (fifth square) = 146.

MATHEMATICA

Table[Prime[n]^2 + n^2, {n, 50}]

PROG

(Magma) [NthPrime(n)^2 + n^2: n in [1..50]]; // G. C. Greubel, Sep 07 2021

(SageMath) [nth_prime(n)^2 + n^2 for n in (1..50)] # G. C. Greubel, Sep 07 2021

(PARI) a(n) = n^2 + prime(n)^2; \\ Michel Marcus, Sep 08 2021

CROSSREFS

Cf. A000290, A001248, A014688, A075526, A076368.

Sequence in context: A146917 A283329 A201170 * A034509 A034521 A294841

Adjacent sequences: A106584 A106585 A106586 * A106588 A106589 A106590

KEYWORD

easy,nonn

AUTHOR

Alexandre Wajnberg, May 10 2005

EXTENSIONS

Extended by Ray Chandler, May 13 2005

STATUS

approved

URL: https://oeis.org/A106587

⇱ A106587 - OEIS