cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-3 of 3 results.

A101393 Numbers k such that 3*10^k + R_k + 6 is prime, where R_k = 11...1 is the repunit (A002275) of length k.

Original entry on oeis.org

1, 2, 218, 692, 1805, 2207, 2873, 59135
Offset: 1

Views

Author

Julien Peter Benney (jpbenney(AT)ftml.net), Jan 15 2005

Keywords

Comments

Also numbers k such that (28*10^k + 53)/9 is prime.
All except 1, 2 and 218 only probably prime. No others less than 10000.

Examples

			n = 1, 2 are members since 37 and 317 are primes.
		

Crossrefs

Programs

  • Mathematica
    Do[ If[ PrimeQ[(28*10^n+53)/9], Print[n]], {n, 0, 10000}]

Formula

a(n) = A101826(n) + 1.

Extensions

a(8) from Kamada data by Robert Price, Dec 13 2010

A101395 Numbers k such that 4*10^k+7 is prime.

Original entry on oeis.org

0, 1, 3, 9, 39, 2323
Offset: 1

Views

Author

Julien Peter Benney (jpbenney(AT)ftml.net), Jan 15 2005

Keywords

Comments

No further terms < 50000.
a(7) > 2*10^5. - Robert Price May 16 2015

Examples

			n = 1, 3, 9 are members since 47, 4007 and 4000000007 are primes.
		

Crossrefs

Programs

  • Mathematica
    Do[ If[ PrimeQ[4*10^n + 7], Print[n]], {n, 0, 10000}]
  • PARI
    is(n)=ispseudoprime(4*10^n+7) \\ Charles R Greathouse IV, Jun 12 2017

Formula

a(n) = A101714(n-1) + 1.

A101824 Indices of primes in sequence defined by A(0) = 37, A(n) = 10*A(n-1) - 63 for n > 0.

Original entry on oeis.org

0, 1, 4, 7, 23, 28, 83, 109, 128, 175, 592, 1136, 2674, 4991, 26903, 31571, 55076, 81020, 122273
Offset: 1

Views

Author

Klaus Brockhaus and Walter Oberschelp (oberschelp(AT)informatik.rwth-aachen.de), Dec 20 2004

Keywords

Comments

Numbers n such that 30*10^n + 7 is prime.
Numbers n such that digit 3 followed by n >= 0 occurrences of digit 0 followed by digit 7 is prime.
Certified primality of term 1136 using Primo. - Ryan Propper, Jun 18 2005
a(19) > 10^5. - Robert Price, Jan 26 2015
a(20) > 2*10^5. - Robert Price, Jul 04 2015

Examples

			307 is prime, hence 1 is a term.
		

References

  • Klaus Brockhaus and Walter Oberschelp, Zahlenfolgen mit homogenem Ziffernkern, MNU 59/8 (2006), pp. 462-467.

Crossrefs

Programs

  • PARI
    a=37;for(n=0,1500,if(isprime(a),print1(n,","));a=10*a-63)
    
  • PARI
    for(n=0,1500,if(isprime(30*10^n+7),print1(n,",")))

Formula

a(n) = A100501(n) - 1.

Extensions

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 02 2008
a(16)-a(18) derived from A100501 by Robert Price, Jan 26 2015
a(19) from Robert Price, Jul 04 2015
Showing 1-3 of 3 results.