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Revision History for A243068

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Showing entries 1-10 | older changes
#18 by Jon E. Schoenfield at Sat Sep 09 19:31:03 EDT 2017
STATUS

editing

approved

#17 by Jon E. Schoenfield at Sat Sep 09 19:30:58 EDT 2017
EXAMPLE

Also, any of the cases mentioned in the Example- section of A243058 as being present there, are also present in this sequence.

STATUS

approved

editing

#16 by Joerg Arndt at Wed Aug 26 06:58:45 EDT 2015
STATUS

proposed

approved

#15 by Michel Marcus at Wed Aug 26 05:47:25 EDT 2015
STATUS

editing

proposed

#14 by Michel Marcus at Wed Aug 26 05:47:15 EDT 2015
EXAMPLE

4 = p_1^2 is present, as the first differences (deltas) of the prime indices (exluding excluding the extra copies of the largest prime factor 2), form a palindrome: (1-0) = (1).

18 = 2*3*3 = p_1 * p_2 * p_2 is present, as the deltas of the indices of its nondistinct prime factors, (exluding excluding the extra copies of the largest prime factor 3) form a palindrome: (1-0, 2-1) = (1,1).

STATUS

approved

editing

Discussion
Wed Aug 26
05:47
Michel Marcus: typo
#13 by N. J. A. Sloane at Sat Jun 21 14:18:00 EDT 2014
STATUS

editing

approved

#12 by N. J. A. Sloane at Sat Jun 21 14:17:57 EDT 2014
COMMENTS

Number A number n is present if its prime factorization n = p_a * p_b * p_c * ... * p_i * p_j * p_k^e_k, where a <= b <= c <= ... <= i <= j < k are the indices of prime factors, not necessarily all distinct, except that j < k, and the greatest prime divisor p_k [with k = A061395(n)] may occur multiple times, satisfies the condition that the first differences of those prime indices (a-0, b-a, c-b, ..., j-i, k-j) form a palindrome.

STATUS

proposed

editing

#11 by Antti Karttunen at Thu Jun 19 14:14:47 EDT 2014
STATUS

editing

proposed

#10 by Antti Karttunen at Thu Jun 19 14:04:58 EDT 2014
COMMENTS

Number n is present, if its prime factorization n = p_a * p_b * p_c * ... * p_i * p_j * p_k^e_k, where a <= b <= c <= ... <= i <= j < k are the indices of prime factors, not necessarily all distinct, except that j < k, and the greatest prime divisor p_k [with k = A061395(n)] may occur multiple times, satisfies the condition that the first differences of those prime indices (a-0, b-a, c-b, ..., j-i, k-j) form a palindrome.

#9 by Antti Karttunen at Thu Jun 19 13:41:15 EDT 2014
EXAMPLE

60 = 2*2*3*5 = p_1 * p_1 * p_2 * p_3 is NOT present, as the deltas of prime indices (1-0, 1-1, 2-1, 3-2) = (1,0,1,1) do NOT form a palindrome.