A059754 Smallest term in any sequence of n consecutive Smith numbers (A006753).

4, 728, 73615, 4463535, 15966114, 2050918644, 164736913905, 8090674745553

Offset: 1

Author

Shyam Sunder Gupta, Feb 11 2001

Keywords

• hard
• nonn
• base
• more

Examples

			The third number is 73615 since 73615, 73616, 73617 is the first example of 3 consecutive Smith numbers.
		

References

• R. K. Guy, Unsolved Problems in Number Theory, Section B49.
• Samuel Yates, Smith Numbers Congruent to 4 (Mod 9), Journal of Recreational Mathematics, Vol. 19(2), 1987.

Links

• Shyam Sunder Gupta, Smith Numbers, Exploring the Beauty of Fascinating Numbers, Springer (2025) Ch. 4, 127-157.
• Carlos Rivera, Source

Crossrefs

Cf. A006753.

Extensions

a(6) from Carlos Rivera, Dec 19 2003

a(7) from Jens Kruse Andersen. Max Alekseyev, Apr 21 2010

a(8) from Max Alekseyev, Oct 11 2010