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A096148 Perfect zip primes (i.e., order-k zip primes, with k = number of digits). 0
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)
OFFSET

1,1

COMMENTS

A k-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.

LINKS

Table of n, a(n) for n=1..20.

C. Rivera, Zip primes

W. Schneider, Zip Primes

CROSSREFS

Sequence in context: A125525 A019546 A104179 * A211681 A124674 A177061

Adjacent sequences:  A096145 A096146 A096147 * A096149 A096150 A096151

KEYWORD

fini,full,nonn,base

AUTHOR

Lekraj Beedassy, Jul 27 2004

STATUS

approved

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Last modified September 26 10:21 EDT 2017. Contains 292517 sequences.