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Search: a209837 -id:a209837
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Integers n such that for all i > n the largest prime factor of product(i+k, {k,0,12}) exceeds the largest prime factor of product(n+k, {k,0,12}).
+10
3
4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 114, 118, 124, 126, 136, 138, 294, 318, 1332, 1333, 48505, 48509, 87164, 135990, 416319, 436744, 780358, 8763442, 25039772, 35176558, 44444364, 61575288, 100918165, 846178875, 1214569400, 2644138052, 9381631594
OFFSET
1,1
COMMENTS
Heuristics show that these terms are valid, but a strict proof is yet to be done.
LINKS
CROSSREFS
KEYWORD
nonn
AUTHOR
Andrey V. Kulsha, Nov 19 2011
STATUS
approved
Integers n such that for all i > n the largest prime factor of product(i+k, {k,0,14}) exceeds the largest prime factor of product(n+k, {k,0,14}).
+10
3
2, 4, 8, 14, 16, 22, 26, 28, 32, 38, 44, 46, 52, 56, 58, 64, 68, 74, 82, 86, 88, 92, 94, 98, 112, 116, 122, 124, 134, 136, 142, 148, 152, 158, 164, 166, 176, 178, 182, 184, 196, 208, 1330, 1331, 48503, 48507, 87162, 211751, 279366, 1845847, 3177028, 4309596, 4363994, 9034134, 61575286
OFFSET
1,1
COMMENTS
Heuristics show that these terms are valid, but a strict proof is yet to be done.
LINKS
CROSSREFS
KEYWORD
nonn
AUTHOR
Andrey V. Kulsha, Mar 14 2012
STATUS
approved

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