A106588 Difference between n-th prime squared and n-th perfect square.
3, 5, 16, 33, 96, 133, 240, 297, 448, 741, 840, 1225, 1512, 1653, 1984, 2553, 3192, 3397, 4128, 4641, 4888, 5757, 6360, 7345, 8784, 9525, 9880, 10665, 11040, 11869, 15168, 16137, 17680, 18165, 20976, 21505, 23280, 25125, 26368, 28329, 30360
Offset: 1
Examples
a(5) = 96 because 121 (fifth prime^2) - 25 (fifth square) = 96.
Links
- G. C. Greubel, Table of n, a(n) for n = 1..1000
Programs
-
Magma
[NthPrime(n)^2 - n^2: n in [1..50]]; // G. C. Greubel, Sep 07 2021
-
Mathematica
Table[Prime[n]^2 - n^2, {n, 50}] -
PARI
a(n) = prime(n)^2 - n^2; \\ Michel Marcus, Sep 08 2021
-
Sage
[nth_prime(n)^2 - n^2 for n in (1..50)] # G. C. Greubel, Sep 07 2021
Formula
a(n) = prime(n)^2 - n^2.
Extensions
Extended by Ray Chandler, May 13 2005