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A167188 Smaller prime power associated with record gap in A167186. 2
1, 4, 9, 16, 32, 81, 128, 169, 361, 1024, 1369, 2401, 4489, 5329, 6889, 8192, 12769, 19683, 32768, 39601, 44521, 85849, 177241, 218089, 262144, 279841, 436921, 597529, 744769, 786769, 1142761, 1771561, 5340721, 6135529, 8826841, 10699441, 17447329, 18464209 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Donovan Johnson, Table of n, a(n) for n = 1..200

EXAMPLE

32 is in the sequence since the gap between 32 and the next prime power, 49, is greater than any previous gap.

PROG

(PARI) isA025475(n) = (omega(n) == 1 & !isprime(n)) | (n == 1)

d_max=0; n_prev=1; for(n=2, 32e6, if(isA025475(n), d=n-n_prev; if(d>d_max, print(n_prev); d_max=d); n_prev=n))

CROSSREFS

Larger prime power: A167189

Record gaps between non-prime prime powers: A167186

Gaps between non-prime prime powers: A053707

List of non-prime prime powers: A025475

Sequence in context: A007679 A239870 A068037 * A014764 A068952 A100498

Adjacent sequences:  A167185 A167186 A167187 * A167189 A167190 A167191

KEYWORD

nonn

AUTHOR

Michael B. Porter, Nov 01 2009

STATUS

approved

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Last modified October 25 22:57 EDT 2014. Contains 248564 sequences.