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URL: https://oeis.org/A388968

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A388968
Table read by rows: earliest group of n consecutive numbers such that, beyond the first number, no number's prime factor exponents equal any prime factor exponent of the previous number.
1
1, 2, 3, 4, 5, 7, 8, 9, 10, 24, 25, 26, 27, 28
OFFSET
2,2
COMMENTS
It is plausible that a group of 6 does not exist, although this is unknown.
EXAMPLE
The row for n = 4 is 7, 8, 9, 10 as 7 = 7^1, 8 = 2^3, 9 = 2^2, 10 = 2^1*5^1, and the prime exponents of 8, 9 and 10 do not equal any of those of 7, 8 and 9 respectively.
The row for n = 5 is 24, 25, 26, 27, 28 as 24 = 2^3*3^1, 25 = 5^2, 26 = 2^1*13^1, 27 = 3^3, 28 = 2^2*7^1, and the prime exponents of 25, 26, 27 and 28 do not equal any of those of 24, 25, 26 and 27 respectively.
.
The table begins:
1, 2;
3, 4, 5;
7, 8, 9, 10;
24, 25, 26, 27, 28;
CROSSREFS
KEYWORD
nonn,tabf,more,hard
AUTHOR
Scott R. Shannon, Sep 22 2025
STATUS
approved