Hello Math-Fun, This puzzle is based on this (hopefully correct) draft: https://oeis.org/draft/A340063 (yes, 340063 is a prime) In the hereunder sequence, how many zeros are there between the first prime 2 and the 1000th prime 7919? Best, É. 2, 1, 3, 10, 100, 5, 20, 7, 4, 11, 110, 13, 12, 1000, 17, 200, 19, 21, 10000, 23, 6, 29, 1001, 31, 14, 100000, 37, 22, 41, 1010, 43, 30, 1000000, 47, 15, 53, 24, 59, 1100, 61, 32, 10000000, 67, 40, 71, 2000, 73, 102, 100000000, 79, 111, 1000000000, 83, 33, 89, 8, 97, 112, 101, 10001, 103, 120, 10000000000, 107,... Lexicographically earliest sequence of distinct positive terms such that: 1/ the primes appear in their natural order 2/ the absolute difference between two successive primes is given by the sum of the digits between them.