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Unitary untouchable numbers with a record gap to the next unitary untouchable number.
3

%I #6 Mar 13 2019 23:49:53

%S 2,5,7,998,15402,21878,382032

%N Unitary untouchable numbers with a record gap to the next unitary untouchable number.

%C The record gap values are 1, 2, 367, 544, 556, 780, 782.

%e 5 is in the sequence since it is a unitary untouchable number and the next unitary untouchable number after it is 7 = 5 + 2 with a record gap of 2. The next gap which is larger than 2 occurs at 7 which is followed by 374 = 7 + 367.

%Y Cf. A063948, A306747.

%K nonn,hard,more

%O 1,1

%A _Amiram Eldar_, Mar 07 2019