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A096148
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Perfect zip primes (i.e., order-k zip primes, with k = number of digits).
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0
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2, 3, 5, 7, 23, 37, 53, 73, 223, 233, 337, 523, 733, 773, 5233, 33377, 72733, 272333, 572333, 5222333
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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COMMENTS
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A k-th order zip prime, where k <= number of digits, is one which, for all of each set k, form smaller primes when it is "zipped" into k parts by alternately distributing the leftmost digit to the parts. Thus 244712331139 is a 7th-order zip prime since we have:
k=1 244712331139
k=2 241313
... 472319
k=3 2731
... 4133
... 4219
k=4 211
... 421
... 433
... 739
k=5 223
... 439
... 43
... 71
... 11
k=6 23
... 43
... 41
... 71
... 13
... 19
k=7 23
... 41
... 41
... 73
... 19
... 2
... 3
all primes.
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LINKS
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CROSSREFS
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KEYWORD
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fini,full,nonn,base
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AUTHOR
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STATUS
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approved
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