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A167236
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Larger prime power associated with gaps in A121492.
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1
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2, 7, 16, 23, 37, 59, 97, 149, 211, 307, 907, 1151, 1361, 5623, 8501, 9587, 15727, 19661, 31469, 156007, 360749, 370373, 492227, 1349651, 1357333, 2010881, 4652507, 17051887, 20831533, 47326913, 122164969, 189695893, 191913031
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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EXAMPLE
| 59 is in the sequence since 53 and 59 are consecutive prime powers with a difference of 6 and no smaller pair of consecutive prime powers differ by 6 or more.
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PROG
| (PARI) isA000961(n) = (omega(n) == 1 | n == 1)
d_max=0; n_prev=1; for(n=2, 1e6, if(isA000961(n), d=n-n_prev; if(d>d_max, print(n); d_max=d); n_prev=n))
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CROSSREFS
| Size of gap: A121492
Smaller prime power (start of gap): A002540
Gaps between prime powers: A057820
List of prime powers: A000961
Sequence in context: A047694 A129666 A135781 * A041573 A041341 A083508
Adjacent sequences: A167233 A167234 A167235 * A167237 A167238 A167239
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KEYWORD
| nonn
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AUTHOR
| Michael Porter (michael_b_porter(AT)yahoo.com), Nov 01 2009, Nov 03 2009
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