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A354967
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Square array A(n, k), n > 0, k >= 0, read by antidiagonals upwards; A(n, k) is the image of n after k iterates of the prime function (A000040).
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1
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1, 2, 2, 3, 3, 3, 4, 5, 5, 5, 5, 7, 11, 11, 11, 6, 11, 17, 31, 31, 31, 7, 13, 31, 59, 127, 127, 127, 8, 17, 41, 127, 277, 709, 709, 709, 9, 19, 59, 179, 709, 1787, 5381, 5381, 5381, 10, 23, 67, 277, 1063, 5381, 15299, 52711, 52711, 52711, 11, 29, 83, 331, 1787, 8527, 52711, 167449, 648391, 648391, 648391
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OFFSET
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1,2
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COMMENTS
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For any m > 0, m appears A049076(m) times in the array.
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LINKS
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FORMULA
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A(n, 0) = n.
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EXAMPLE
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Array A(n, k) begins:
n\k| 0 1 2 3 4 5 6 7 8
---+--------------------------------------------------------
1| 1 2 3 5 11 31 127 709 5381
2| 2 3 5 11 31 127 709 5381 52711
3| 3 5 11 31 127 709 5381 52711 648391
4| 4 7 17 59 277 1787 15299 167449 2269733
5| 5 11 31 127 709 5381 52711 648391 9737333
6| 6 13 41 179 1063 8527 87803 1128889 17624813
7| 7 17 59 277 1787 15299 167449 2269733 37139213
8| 8 19 67 331 2221 19577 219613 3042161 50728129
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PROG
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(PARI) A(n, k) = { my (v=n); for (i=1, k, v=prime(v)); return (v) }
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CROSSREFS
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Cf. A000040, A006450, A007097, A038580, A049076, A057450, A057451, A057452, A057453, A058009, A114537, A344946.
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KEYWORD
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AUTHOR
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STATUS
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approved
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