The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A002998

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A002998

Smallest multiple of n whose digits sum to n.
(history; published version)

#57 by Michael De Vlieger at Fri Jun 30 08:19:03 EDT 2023

STATUS

reviewed

approved

#56 by Hugo Pfoertner at Fri Jun 30 05:06:53 EDT 2023

STATUS

proposed

reviewed

#55 by Joerg Arndt at Fri Jun 30 03:49:44 EDT 2023

STATUS

editing

proposed

#54 by Joerg Arndt at Fri Jun 30 03:49:41 EDT 2023

COMMENTS

a(n) is the smallest harshad number (see A005349) whose sum of digits is n; it is not obvious, but exact, that a(n) exists for all n, see Mohammed Aassila's reference. - Robert FERREOL, Jun 30 2023

#53 by Joerg Arndt at Fri Jun 30 03:49:20 EDT 2023

COMMENTS

a(n) is the smallest harshad number (see A005349) whose sum of digits is n ; it is not obvious, but exact, that a(n) exists for all n : , see Mohammed Aassila's reference. - Robert FERREOL, Jun 30 2023

#52 by Joerg Arndt at Fri Jun 30 03:49:01 EDT 2023

COMMENTS

a(n) is the smallest harshad number (see A00534A005349) whose sum of digits is n ; it is not obvious, but exact, that a(n) exists for all n : see Mohammed Aassila's reference. - Robert FERREOL, Jun 30 2023

STATUS

reviewed

editing

#51 by Hugo Pfoertner at Fri Jun 30 03:01:34 EDT 2023

STATUS

proposed

reviewed

#50 by Michel Marcus at Fri Jun 30 01:53:37 EDT 2023

STATUS

editing

proposed

#49 by Michel Marcus at Fri Jun 30 01:53:33 EDT 2023

REFERENCES

Mohammed Aassila, 1000 challenges mathématiques, Algèbre, Ellipses, 2016, p. 110.

Mohammed Aassila, 1000 challenges mathématiques, Algèbre, Ellipses, 2016, p. 110 . - Robert FERREOL, Jun 30 2023

LINKS

H. Fredricksen, E. J. Ionascu, F. Luca, and P. Stanica, <a href="http://arxiv.org/abs/0803.0477">Minimal Niven numbers</a>, arXiv:0803.0477 [math.NT], 2008.

H. Fredricksen, E. J. Ionascu, F. Luca, and P. Stanica, <a href="http://dx.doi.org/10.4064/aa132-2-3">Minimal Niven numbers</a>, Acta Arithmetica 132(2008), 135-159.

PROG

(PARI) a(n)=my(k); while(sumdigits(k+=n)!=n, ); k \\ Charles R Greathouse IV, Feb 01 2013

STATUS

proposed

editing

#48 by Robert FERREOL at Fri Jun 30 01:47:00 EDT 2023

STATUS

editing

proposed