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Numbers n such that (n + prime(n)) and (n+1 + prime(n+1)) are divisible by 5.
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%I #3 Mar 30 2012 17:26:16

%S 27,62,63,78,88,93,112,117,122,131,136,137,146,147,162,163,226,283,

%T 287,348,371,382,391,401,402,447,483,526,527,532,533,547,552,612,626,

%U 641,642,678,687,688,718,727,766,806,877,888,986,987,992,996,1002,1011,1022

%N Numbers n such that (n + prime(n)) and (n+1 + prime(n+1)) are divisible by 5.

%C For some values of n, e.g., 62, 132, 146, 162, also (n+2 + prime(n+2)) is divisible by 5.

%t Select[Range[5000], Mod[Prime[ # ]+#, 5]+Mod[Prime[ #+1]+#+1, 5]==0&]

%K easy,nonn

%O 1,1

%A _Zak Seidov_, Jun 10 2005