A059801 -id:A059801 - cp's OEIS frontend

A062617 Numbers k such that 51^k - 50^k is prime.

2, 7, 139, 383, 1187, 5857, 41281

Offset: 1

Mike Oakes, May 18 2001, May 19 2001

Terms greater than 1000 are often only strong pseudoprimes.

a(8) > 10^5. - Robert Price, Feb 28 2013

Cf. A000043, A057468, A059801, A059802, A062572-A062666.

is(n)=ispseudoprime(51^n-50^n) \\ Charles R Greathouse IV, Jun 13 2017

a(7) from Robert Price, Feb 28 2013

A062618 Numbers k such that 52^k - 51^k is prime.

Original entry on oeis.org

2, 29, 109, 179, 14923

Offset: 1

Mike Oakes, May 18 2001, May 19 2001

Terms greater than 1000 are often only strong pseudoprimes.

a(6) > 10^5. - Robert Price, Nov 28 2012

Cf. A000043, A057468, A059801, A059802, A062572-A062666.

is(n)=ispseudoprime(52^n-51^n) \\ Charles R Greathouse IV, Jun 13 2017

a(5) from Robert Price, Nov 28 2012

A062619 Numbers k such that 53^k - 52^k is a prime.

Original entry on oeis.org

3, 19, 29, 37, 1879, 3181, 3331, 19597, 38993, 84239, 90679

Offset: 1

Mike Oakes, May 18 2001, May 19 2001

Terms greater than 1000 often correspond only to strong pseudoprimes. [Clarified by M. F. Hasler, Sep 15 2013]
All terms are prime. - Robert Price, Jan 20 2013
a(12) > 10^5. - Robert Price, Jan 20 2013
To elaborate on Robert Price's comment that all terms are prime: This is also true for all other sequences of numbers n such that k^n - (k-1)^n is prime. It is easy to prove by elementary means that if n = a * b, then k^n - (k-1)^n is divisible by k^(n-a) - (k-1)^(n-a) and k^(n-b) - (k-1)^(n-b). - Alonso del Arte, Sep 15 2013

Cf. A000043, A057468, A059801, A059802, A062572-A062666.

a(8)-a(11) from Robert Price, Jan 20 2013

A062620 Numbers k such that 54^k - 53^k is prime.

Original entry on oeis.org

2, 479, 1129, 2549, 11003

Offset: 1

Mike Oakes, May 18 2001, May 19 2001

Terms greater than 1000 often correspond only to strong probable primes.

a(6) > 10^5. - Robert Price, Feb 18 2013

Cf. A000043, A057468, A059801, A059802, A062572-A062666.

is(n)=ispseudoprime(54^n-53^n) \\ Charles R Greathouse IV, Jun 13 2017

a(5) = 11003 found by Mike Oakes in Aug 2003. - Jean-Louis Charton, Aug 15 2012

A062621 Numbers k such that 55^k - 54^k is prime.

Original entry on oeis.org

2, 5, 7, 701

Offset: 1

Mike Oakes, May 18 2001, May 19 2001

a(5) > 10^5. - Robert Price, Nov 05 2012

Cf. A000043, A057468, A059801, A059802, A062572-A062666.

is(n)=ispseudoprime(55^n-54^n) \\ Charles R Greathouse IV, Jun 13 2017

A062622 Numbers k such that 56^k - 55^k is a prime.

Original entry on oeis.org

3, 17, 293, 1303, 3331, 4639, 7043, 35201, 46441

Offset: 1

Mike Oakes, May 18 2001, May 19 2001

Terms greater than 1000 often correspond only to strong pseudoprimes. [Clarified by M. F. Hasler, Sep 15 2013]

a(10) > 10^5. - Robert Price, Oct 26 2013

Cf. A000043, A057468, A059801, A059802, A062572-A062666.

a(8)-a(9) from Robert Price, Oct 26 2013

A062623 Numbers k such that 57^k - 56^k is prime.

Original entry on oeis.org

2, 19, 769, 773, 4507, 26183

Offset: 1

Mike Oakes, May 18 2001, May 19 2001

Terms greater than 1000 often correspond only to strong pseudoprimes. [Clarified by M. F. Hasler, Sep 15 2013]

a(7) > 10^5. - Robert Price, Dec 06 2012

Cf. A000043, A057468, A059801, A059802, A062572-A062666.

is(n)=ispseudoprime(57^n-56^n) \\ Charles R Greathouse IV, Jun 13 2017

a(6) from Robert Price, Dec 06 2012

A062625 Numbers k such that 59^k - 58^k is prime.

Original entry on oeis.org

3, 7, 1123, 7489

Offset: 1

Mike Oakes, May 18 2001, May 19 2001

Terms greater than 1000 often correspond only to strong pseudoprimes. [Clarified by M. F. Hasler, Sep 15 2013]

a(5) > 10^5. - Robert Price, Jan 31 2013

Cf. A000043, A057468, A059801, A059802, A062572-A062666.

is(n)=ispseudoprime(59^n-58^n) \\ Charles R Greathouse IV, Jun 13 2017

A062626 Numbers k such that 60^k - 59^k is prime.

Original entry on oeis.org

4663, 8839, 14779

Offset: 1

Mike Oakes, May 18 2001, May 19 2001

Terms greater than 1000 often correspond only to strong pseudoprimes. [Clarified by M. F. Hasler, Sep 15 2013]

a(4) > 10^5. - Robert Price, Mar 01 2013

H. Lifchitz, R. Lifchitz, PRP top records (of the form 60^n-59^n)

Cf. A000043, A057468, A059801, A059802, A062572-A062666.

is(n)=ispseudoprime(60^n-59^n) \\ Charles R Greathouse IV, Jun 13 2017

a(3) from Robert Price, Mar 01 2013

A062628 Numbers k such that 62^k - 61^k is prime.

Original entry on oeis.org

17, 23, 421, 1303, 6163, 17117, 18439, 74521

Offset: 1

Mike Oakes, May 18 2001, May 19 2001

Terms greater than 1000 are often only strong pseudoprimes.
All terms are primes. - Robert Price, May 07 2013
a(9) > 10^5. - Robert Price, May 07 2013

Cf. A000043, A057468, A059801, A059802, A062572-A062666.

is(n)=ispseudoprime(62^n-61^n) \\ Charles R Greathouse IV, Jun 13 2017

a(6)-a(8) (Computer runs by Adam Marciniec) from Robert Price, May 07 2013

cp's OEIS Frontend

A062617 Numbers k such that 51^k - 50^k is prime.

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A062618 Numbers k such that 52^k - 51^k is prime.

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A062619 Numbers k such that 53^k - 52^k is a prime.

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A062620 Numbers k such that 54^k - 53^k is prime.

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A062621 Numbers k such that 55^k - 54^k is prime.

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A062622 Numbers k such that 56^k - 55^k is a prime.

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A062623 Numbers k such that 57^k - 56^k is prime.

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A062625 Numbers k such that 59^k - 58^k is prime.

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A062626 Numbers k such that 60^k - 59^k is prime.

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A062628 Numbers k such that 62^k - 61^k is prime.

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