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.

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A034817 Concatenations C1 and C2 and C3 are all prime (see the comment lines).

Original entry on oeis.org

63, 333, 621, 3339, 4557, 8127, 13977, 16827, 18177, 21921, 27393, 34989, 40023, 40047, 46917, 59727, 61203, 79467, 94767, 95079, 100821, 102771, 104859, 106527, 113883, 114123, 143433, 147123, 156201, 158409, 160149, 196737, 209277, 209961
Offset: 0

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Author

Patrick De Geest, Oct 15 1998

Keywords

Comments

C1 = 'prevprime(n) followed by n'
C2 = 'n followed by nextprime(n)'
C3 = 'prevprime(n) followed by n followed by nextprime(n)'

Examples

			n=95079 -> previous prime is 95071, next prime is 95083, thus '9501795079' and '9507995083' and '950719507995083' are all three primes.
		

Crossrefs

A034818 Concatenations C1 and C2 and C3 are all prime (see the comment lines).

Original entry on oeis.org

657, 4929, 10647, 18291, 20907, 22653, 27381, 28053, 28671, 42471, 48441, 57363, 69651, 79569, 89853, 93261, 95967, 101283, 110763, 119481, 128613, 145719, 149409, 174993, 201417, 204861, 205329, 221883, 248391, 269199, 272799, 293451
Offset: 0

Views

Author

Patrick De Geest, Oct 15 1998

Keywords

Comments

C1 = 'nextprime(n) followed by n'
C2 = 'n followed by prevprime(n)'
C3 = 'nextprime(n) followed by n followed by prevprime(n)'

Examples

			n=95967 -> next prime is 95971, previous prime is 95959, thus '9597195967' and '9596795959' and '959719596795959' are all three primes.
		

Crossrefs

Programs

  • Mathematica
    ccatQ[n_]:=Module[{idn=IntegerDigits[n],pp=IntegerDigits[NextPrime[n,-1]], np= IntegerDigits[ NextPrime[n]]}, And@@PrimeQ[{FromDigits[ Join[np, idn]], FromDigits[Join[idn,pp]],FromDigits[Join[np,idn,pp]]}]]; Select[ Range[300000],ccatQ] (* Harvey P. Dale, Sep 09 2011 *)

A034819 Concatenations C1 and C2 and C3 and C4 are all prime (see the comment lines).

Original entry on oeis.org

51, 63, 123, 597, 687, 987, 4429, 12237, 18291, 20013, 29953, 31863, 34653, 48023, 52703, 57147, 59337, 62097, 66727, 71733, 81263, 86589, 101211, 105501, 118617, 121397, 134013, 146191, 147151, 155937, 174723, 175797, 179191, 180189, 205287
Offset: 0

Views

Author

Patrick De Geest, Oct 15 1998

Keywords

Comments

C1 = 'nextprime(n) followed by n'
C2 = 'n followed by nextprime(n)'
C3 = 'prevprime(n) followed by n'
C4 = 'n followed by prevprime(n)'

Examples

			n=105501 -> next prime is 105503, previous prime is 105499, thus '105503105501' and '105501105503' and '105501105499' and '105499105501' are all four primes.
		

Crossrefs

Previous Showing 11-13 of 13 results.