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A078327
Numbers k such that A078142(k) = A006530(k).
2
2, 4, 6, 8, 12, 15, 16, 18, 24, 32, 36, 45, 48, 54, 64, 72, 75, 96, 105, 108, 110, 128, 135, 144, 162, 192, 216, 220, 225, 256, 288, 315, 324, 375, 384, 385, 405, 432, 440, 486, 512, 525, 550, 576, 648, 675, 735, 768, 864, 880, 935, 945, 972, 1024, 1100, 1125
OFFSET
1,1
COMMENTS
Numbers k such that the sum of the differences of the distinct prime factors p of k and the next square larger than p is equal to the largest prime factor of k.
Are there any other consecutive terms in this sequence other than 15,16 and 384,385?
LINKS
PROG
(PARI) is(k) = {if(k<2, return(0)); my(f=factor(k)[, 1]); sum(i=1, #f, (sqrtint(f[i])+1)^2-f[i]) == vecmax(f); } \\ Jinyuan Wang, Apr 17 2020
CROSSREFS
KEYWORD
nonn
AUTHOR
Jason Earls, Nov 24 2002
EXTENSIONS
Offset changed to 1 by Jinyuan Wang, Apr 17 2020
STATUS
approved