|
|
A156753
|
|
Primes whose largest digit is equal to the sum of all the other digits.
|
|
4
|
|
|
11, 101, 167, 211, 257, 347, 431, 523, 541, 617, 743, 761, 853, 1021, 1087, 1153, 1201, 1373, 1427, 1483, 1531, 1571, 1607, 1733, 1861, 2011, 2053, 2141, 2237, 2251, 2273, 2383, 2411, 2417, 2503, 2521, 2741, 2833, 2851, 3041, 3137, 3371, 3407, 3511, 3823
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
EXAMPLE
|
1571 is a prime in which the largest digit is equal to the sum of all the other digits.
|
|
MAPLE
|
A054055 := proc(n) max(op(convert(n, base, 10))) ; end: A007953 := proc(n) add(d, d=convert(n, base, 10)) ; end: for n from 1 to 800 do p := ithprime(n) ; if 2*A054055(p) = A007953(p) then printf("%d, ", p) ; fi; od: # R. J. Mathar, Feb 20 2009
|
|
MATHEMATICA
|
ldQ[n_]:=Module[{c=Sort[IntegerDigits[n]]}, Total[Most[c]]==Last[c]]; Select[ Prime[Range[1000]], ldQ] (* Harvey P. Dale, Dec 26 2013 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|