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A370128
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Numbers k such that (A276086(k)/s)^s >= k^(s-1) and A276086(k) <= A003415(k), where A003415 is the arithmetic derivative, A276086 is the primorial base exp-function, and s = bigomega(k).
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3
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6, 213, 214, 2315, 2317, 2319, 2342, 2343, 2348, 2349, 2372, 2523, 2524, 2526, 2552, 4622, 4623, 4628, 4652, 6932, 6936, 6960, 30041, 30043, 30046, 30052, 30054, 30062, 30074, 30075, 30076, 30093, 30094, 30098, 30100, 30102, 30150, 30242, 30245, 30249, 30254, 30256, 30258, 30273, 30274, 30282, 32343, 32345, 32347
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OFFSET
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1,1
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COMMENTS
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LINKS
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PROG
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(PARI)
A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
isA370128(n) = { my(x=A276086(n), s=bigomega(n)); ((x<=A003415(n)) && ((x/s)^s >= n^(s-1))); };
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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