A052023 -id:A052023 - cp's OEIS frontend

A060825 Smallest n-digit left truncatable prime of Henry VIII type.

773, 3373, 15647, 121997, 1237547, 12184967, 126934673, 1231633967, 12181833347, 124627266947, 1213536676883, 13264242313613, 129456645661613, 1399335756373613, 12429121339693967, 198615345451813613, 1276812967623946997, 36484957213536676883, 315396334245663786197, 9918918997653319693967, 95918918997653319693967, 357686312646216567629137

Offset: 3

Lekraj Beedassy, Apr 30 2001

			The 11-digit prime a(11) = 12181833347 is the smallest of its kind such that successive deleting of the leftmost digits produces the primes 2181833347, 181833347, 81833347, 1833347, 833347, 33347, 3347, 347, 47, 7.

S. Kahan and S. Weintraub, Left truncatable primes. Journal of Recreational Mathematics, vol. 29, no. 4 (1998), pp. 255-261.

I. O. Angell and H. J. Godwin, On Truncatable Primes, Math. Comput. 31, 265-267, 1977.
C. K. Caldwell, Left truncatable primes
P. De Geest, The 4260 left-truncatable primes
Index entries for sequences related to truncatable primes

Cf. A024785, A052023, A052025, A055521.

a(2) removed, offset changed to 3 and a(19)-a(24) added using A055521 by Jinyuan Wang, Aug 07 2020

A173060 Partial sums of A024785.

Original entry on oeis.org

2, 5, 10, 17, 30, 47, 70, 107, 150, 197, 250, 317, 390, 473, 570, 683, 820, 987, 1160, 1357, 1580, 1863, 2176, 2493, 2830, 3177, 3530, 3897, 4270, 4653, 5050, 5493, 5960, 6483, 7030, 7643, 8260, 8903, 9550, 10203, 10876, 11559, 12302, 13075, 13872

Offset: 1

Jonathan Vos Post, Feb 08 2010

Partial sums of left-truncatable primes. This sequence has 4260 terms. The subsequence of prime partial sums of left-truncatable primes begins 2, 5, 17, 47, 107, 197, 317, 683, 7643. The subsubsequence of left-truncatable prime partial sums of left-truncatable primes begins 2, 5, 197, 317.

			a(57) = 2 + 3 + 5 + 7 + 13 + 17 + 23 + 37 + 43 + 47 + 53 + 67 + 73 + 83 + 97 + 113 + 137 + 167 + 173 + 197 + 223 + 283 + 313 + 317 + 337 + 347 + 353 + 367 + 373 + 383 + 397 + 443 + 467 + 523 + 547 + 613 + 617 + 643 + 647 + 653 + 673 + 683 + 743 + 773 + 797 + 823 + 853 + 883 + 937 + 947 + 953 + 967 + 983 + 997 + 1223 + 1283 + 1367.

Cf. A000040, A024770 (right-truncatable primes), A024785, A033664, A032437, A020994, A052023, A052024, A052025, A050986, A050987, A173057.

a(n) = SUM[i=1..n] A024785(i) = SUM[i=1..n] {p prime, and every suffix of p in decimal expansion is prime, and no digits are zero}.

cp's OEIS Frontend

A060825 Smallest n-digit left truncatable prime of Henry VIII type.

Views

Author

Keywords

Examples

References

Links

Crossrefs

Extensions