Correction to, comment on, A061789, and primes therein

Jonathan Post jvospost3 at gmail.com
Sat Jul 7 00:33:48 CEST 2007


Correction to A061789:

a(4) = 2^2 + 3^3 + 5^5 + 7^7 = 826699
rather than, as shown, 826696.

Comment:

Primes in A061689

a(2) = 2^2 + 3^3 = 31 is prime

a(4) = 2^2 + 3^3 + 5^5 + 7^7 = 826699 is prime

a(24) = 2^2 + 3^3 + 5^5 + 7^7 + 11^11 + 13^13 + 17^17 + 19^19
+ 23^23 + 29^29 + 31^31 + 37^37 + 41^41 + 43^43 +
47^47 + 53^53 + 59^59 + 61^61 + 67^67 + 71^71 + 73^73
+ 79^79 + 83^83 + 89^89 =
313119 843606 266222 723931 946804 611259 287100
533754 507329 247768 328563 715123 287679 948437
264517 293404 303260 795541 448480 275059 086587
161357 892405 477908 284669 463639 709544 036228
659629 is prime

A061789 Sum_{k=1..n} p(k)^p(k), p(k) = k-th prime (A000040).
       4, 31, 3156, 826696, 285312497310, 303160419089563,
827240565046755853740, 1979246896225360344977719,
20880469979094808259715377888286,
2567686153182091604540923022990731504371755





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