A273601 -id:A273601

Search: a273601 -id:a273601

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A273598

Numbers n such that (11^n - 6^n)/5 is prime.

+10
3

2, 3, 11, 163, 191, 269, 1381, 1493

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

All terms are prime.

The corresponding primes: 17, 223, 56989774711, ...

LINKS

Table of n, a(n) for n=1..8.

MATHEMATICA

Select[Range[1, 10000], PrimeQ[(11^# - 6^#)/5] &]

PROG

(PARI) for(n=1, 10000, if(isprime((11^n - 6^n)/5), print1(n, ", ")))

CROSSREFS

Cf. A005808, A210506, A128027, A216181, A128347, A273599, A273600, A273601, A062577.

KEYWORD

nonn,more,hard

AUTHOR

Tim Johannes Ohrtmann, May 26 2016

STATUS

approved

A273599

Numbers k such that (11^k - 7^k)/4 is prime.

+10
3

5, 19, 67, 107, 593, 757, 1801, 2243, 2383, 6043, 10181, 11383, 15629

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

All terms are prime.

The corresponding primes: 36061, 15286922888307293287, 1483371444025889427763765389467527889556636442659800720575790059738807, ...

LINKS

Table of n, a(n) for n=1..13.

MATHEMATICA

Select[Range[1, 10000], PrimeQ[(11^# - 7^#)/4] &]

PROG

(PARI) for(n=1, 10000, if(isprime((11^n - 7^n)/4), print1(n, ", ")))

CROSSREFS

Cf. A005808, A210506, A128027, A216181, A128347, A273598, A273600, A273601, A062577.

KEYWORD

nonn,more,hard

AUTHOR

Tim Johannes Ohrtmann, May 26 2016

STATUS

approved

A273600

Numbers n such that (11^n - 8^n)/3 is prime.

+10
3

2, 7, 11, 17, 37, 521, 877, 2423

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

All terms are prime.

The corresponding primes: 19, 5796673, 92240578673, 167731742895202841, 113345629904382710526197539019199125641, ...

LINKS

Table of n, a(n) for n=1..8.

MATHEMATICA

Select[Range[1, 10000], PrimeQ[(11^# - 8^#)/3] &]

PROG

(PARI) for(n=1, 10000, if(isprime((11^n - 8^n)/3), print1(n, ", ")))

CROSSREFS

Cf. A005808, A210506, A128027, A216181, A128347, A273598, A273599, A273601, A062577.

KEYWORD

nonn,more,hard

AUTHOR

Tim Johannes Ohrtmann, May 26 2016

STATUS

approved

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