A052999 -id:A052999 - cp's OEIS frontend

A053544 A052999 / 18.

0, 0, 0, 0, 5, 1, 3, 5, 110, 11110, 1, 2, 20, 220, 220, 25, 25, 30, 30, 2, 2, 1, 4444444444444444444444444444440, 40, 1, 5, 4, 2, 5, 1, 8, 1, 2, 3, 15, 50, 23, 25, 25, 2, 1, 35, 40, 3, 1, 40, 45, 110, 100, 100, 155, 3, 10, 15, 1125, 100, 100, 8, 25, 30, 30, 3, 13, 10, 1, 8, 1, 2, 22, 5, 275, 13, 17, 2, 1, 150, 25, 1, 20

Offset: 1

N. J. A. Sloane, Mar 16 2000

Cf. A052902, A052999, A053544, A052495.

More terms from Asher Auel, May 12 2000

a(23) corrected by Sean A. Irvine, Dec 27 2021

A052902 Take n-th prime p, let P = all primes that can be obtained by permuting the digits of p and possibly omitting zeros; a(n) = |p-q| where q in P is the closest to p but different from p (a(n)=0 if no such q exists).

Original entry on oeis.org

0, 0, 0, 0, 0, 18, 54, 0, 0, 0, 18, 36, 0, 0, 0, 0, 0, 0, 0, 54, 36, 18, 0, 0, 18, 90, 72, 36, 90, 18, 144, 18, 36, 54, 270, 0, 414, 450, 450, 36, 18, 630, 720, 54, 18, 720, 0, 0, 0, 0, 0, 54, 180, 270, 0, 0, 0, 144, 450, 540, 540, 54, 234, 180, 18, 144, 18, 36, 396, 90, 0, 234, 306

Offset: 1

N. J. A. Sloane, Mar 16 2000

			a(6)=18 since 6th prime is 13 and 31-13=18. a(25)=90 since 23rd prime is 101 and 101-11=90.

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Cf. A052998, A052999, A053544, A052495.

pdp[n_]:=Module[{p1=FromDigits/@Permutations[IntegerDigits[n]],p2=FromDigits/@ Permutations[ Select[IntegerDigits[n],#>0&]],p3},p3=Select[ Union[ Join[ p1,p2]],PrimeQ[#]&&#!=n&];If[Length[p3]==0,0,First[Abs[Nearest[p3,n]-n]]]]; Table[pdp[n],{n,Prime[Range[80]]}] (* Harvey P. Dale, Nov 11 2016 *)

More terms from Asher Auel, May 12 2000

A052495 Take n-th prime p, let P = all primes having same digits; a(n) = q-p where q is smallest prime in P >p if q exists; otherwise a(n) = p-r where r is largest prime in P

Original entry on oeis.org

0, 0, 0, 0, 0, 18, 54, 0, 0, 0, 18, 36, 0, 0, 0, 0, 0, 0, 0, 54, 36, 18, 0, 0, 18, 0, 0, 594, 0, 18, 144, 180, 36, 54, 270, 0, 414, 450, 450, 144, 18, 630, 720, 54, 522, 720, 0, 0, 0, 0, 0, 54, 180, 270, 0, 0, 0, 144, 450, 540, 540, 54, 0, 180, 18, 144, 18, 36, 396, 90, 0, 234

Offset: 1

Enoch Haga, Mar 16 2000

The primes in P are required to have the same number of digits as p; thus internal 0's must remain internal 0's.

			a(41)=18 because the 41st prime is 179. The primes having these digits are 179, 197, 719 and 971. The distance from 179 to 197 = 18.

Cf. A052902, A052998, A052999, A053544, A052494, A052507.

A052998 A052902 / 18.

Original entry on oeis.org

0, 0, 0, 0, 0, 1, 3, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 3, 2, 1, 0, 0, 1, 5, 4, 2, 5, 1, 8, 1, 2, 3, 15, 0, 23, 25, 25, 2, 1, 35, 40, 3, 1, 40, 0, 0, 0, 0, 0, 3, 10, 15, 0, 0, 0, 8, 25, 30, 30, 3, 13, 10, 1, 8, 1, 2, 22, 5, 0, 13, 17, 2, 1, 0, 25, 1, 20, 0, 4, 10, 0, 0, 5, 0, 0, 5, 10, 10, 10, 26, 0, 4, 0

Offset: 1

N. J. A. Sloane, Mar 16 2000

Cf. A052902, A052999, A053544, A052495.

More terms from Asher Auel, May 12 2000

A052484 Let P = all numbers that can be obtained by permuting the digits of n and possibly adding or omitting zeros; a(n) = |n-q| where q in P is the closest number to n different from n (a(n)=0 if no such q exists).

Original entry on oeis.org

0, 9, 18, 27, 36, 45, 54, 63, 72, 81, 9, 90, 9, 18, 27, 36, 45, 54, 63, 72, 18, 9, 180, 9, 18, 27, 36, 45, 54, 63, 27, 18, 9, 270, 9, 18, 27, 36, 45, 54, 36, 27, 18, 9, 360, 9, 18, 27, 36, 45, 45, 36, 27, 18, 9, 450, 9, 18, 27, 36, 54, 45, 36, 27, 18, 9, 540, 9, 18, 27, 63, 36, 45, 36, 27, 18

Offset: 0

N. J. A. Sloane, Mar 18 2000

Quasi-periodic.

			a(1)=9 since P={1,10,100,...} and 10-1 = 9.

Cf. A052500, A052999.

More terms from Asher Auel, May 12 2000

cp's OEIS Frontend

A053544 A052999 / 18.

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A052902 Take n-th prime p, let P = all primes that can be obtained by permuting the digits of p and possibly omitting zeros; a(n) = |p-q| where q in P is the closest to p but different from p (a(n)=0 if no such q exists).

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A052495 Take n-th prime p, let P = all primes having same digits; a(n) = q-p where q is smallest prime in P >p if q exists; otherwise a(n) = p-r where r is largest prime in P

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A052998 A052902 / 18.

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A052484 Let P = all numbers that can be obtained by permuting the digits of n and possibly adding or omitting zeros; a(n) = |n-q| where q in P is the closest number to n different from n (a(n)=0 if no such q exists).

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