rationalskepticism.org

In the first paragraph of what follows--the major part of the critical earlier post by myself--I provide the essence of my hypothesis for the nature of Earth's origins. The hypothesis is less robustly supportable at present (as one of various alternatives) than the idea that I am giving grounds to bring it back into the arena of plausible hypotheses. The first sentence is overblown. The point is not what I know about base-ten coincidences entirely, but the fact that they are now known beyond the point at which they should be (given the effort going into finding them); and they are strong enough to support claims of some form of signalling--at least a beacon-like "base ten has scads of coincidences"--from a higher intelligence. The second paragraph is that which was the major bone of contention of the last post. I'll break it down a little after you read or re-read the two paragraphs, and then I'll provide the specific outputs of the program so heartily attacked as unreadable by Calilasseia. In the third post of this sequence, I'll generate the proper data from the second smaller program that has yet to be repeated.

Someone wrote:The testable prediction I am making is that I know more about coincidences involving base ten than anybody on the planet, and a lot has to do with 365. On the seeding, same material as everything else in the cloud will do just fine if we're to get to a point billions of years down the road where the Moon and Sun look almost the same size from Earth and 365+1/4 is the approximation to the number of days in a year, and that's all we care about at the start. You can just do a lot of the rest by study of the life that evolves and some good nanotechnology operating subliminally on its sense organs. Getting things pretty precise at the outset does entail massive computing power, but you know you have to grant that. The fact is that I'm describing a co-adaptive system with life on Earth as much as a creative one. Not a whole lot goes into the signal, but it's enough. I got the highest 9th-grade score on the AHSME on the day the first magnetar was discovered.

Here's a little taste of the math: List the prime numbers that translate twice as primes digit-by-digit from base 2 to base 10 and do the same from base 3 to base 10. The 4th on the list is the first that translates once from base 4 to base 10 as a prime; the 44th is the first to do it twice; both start with 234 in base 10; and the 4th is special in that it translates twice also from base 5, doesn't translate as a prime again except for the tautology at base 10 until base 20 (Using 'digits' greater than 9) at which base it translates five times, with the next two bases for this being 22 and 25--4 and 2 times, respectively.

Okay, the first noun phrase of sentence two in reference to sentence one makes it clear that there is one list that must reasonably be inferred is in increasing order. Comprehension of the whole paragraph will then fall into focus on appreciation of this. The first sentence describes what the list is, and I would hope that at the very least after reading Calilasseia's revelation on the matter most people could figure that out. However, for clarity's sake, I will spell it out using a small number so that I can do this in my head here. Take 1310=11012=1113. 110110=100010011012 and 11110=111113. If 111, 1101, 11111, and 10001001101 (base 10) were all primes, then 13 would be on the list. If the entire statement is not now clear (along with Calilasseia's suggestion of using a database of primes for the research being wrong), then it soon will be with the following list and the next post.

Here is the list of the first 44 terms of the sequence:
1: 3660109, 2: 69664477, 3: 222606961, 4: 234099253, 5: 244425499, 6: 252362347, 7: 264492601, 8: 289353943,
9: 334710967, 10: 365431051, 11: 390680029, 12: 400817629, 13: 422451433, 14: 530917927, 15: 577666909,
16: 594302287, 17: 723691147, 18: 738084037, 19: 753950893, 20: 788894581, 21: 807284953, 22: 827671849,
23: 842959669, 24: 985296679, 25: 986511051, 26: 1187799427, 27: 1243788031, 28: 1417131259, 29: 1442128351,
30: 1461773629, 31: 1609808887, 32: 1718949343, 33: 1728686041, 34: 1779146671, 35: 1890591799, 36: 2018095633, 37: 2078547529, 38: 2124366697, 39: 2142242239, 40: 2173576177, 41: 2209776061, 42: 2211799081, 43: 2298824377, 44: 2348568403