Problems & Puzzles: Puzzles

Puzzle 922. Follow up to Puzzle 634 In our puzzle 634, dated from 2012, Jud McCranie reported that 12847701247 is the largest champion known for the quantity of primes (92) in its Collatz trajectory (See A078373 and the associated Jud's file contribution)   In the puzzle 634 Jud added: "26404836711 has 93 primes.  It is probably the smallest one with 93 primes in the trajectory, but I can't be sure..."      Q1. Can you scan the whole range 12847701247-25404836711 to confirm if 25404836711 is the next champion or not for the sequence A078373?   Q2. What is the next champion after 25404836711, if confirmed in Q1?

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Contributions came from Seiji Tomita

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Seiji wrote, April 22 2018:

Q2:. These solutions may not be smallest.

[142876000767, 94]
[249335825127, 95]
[843079991295, 96]
[6490347937791, 98]
[97042578768895, 100]
[48521289384447, 101]

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