So yesterday, after I wrote about 63, I had a computational misstep. To test for div by 73: Multiply the 1s place by 22 and add to the priors. Look at 219=3x73. 9x22=198. & 198+21=219. It's stable under this op. For 4891. 22+489=511. & 22+51=73.
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To test div by 83: Multi the 1s place by 25, and add to the priors. Consider 7221: 25+722=747. 7x25= 175. 175+74=249. But 9x25=225. and 225+24=249=3x83. Another stable point. So 7221 is div by 83. To factor: 7221=3x2407. 240+21=261. 26+3=29. 7221=3x29x83. BTW, 29 is the 1st possible prime factor.
Finally, 3x97=291. So to test for div by 97, multiply the 1s place by 29 and subtract it from the priors. Consider, 9021. 902-29=873. 3x29=87. So 9021 is div by 97. Of course one might see that 9021=93x97 and 7221=83x87 b/c of diff of sqs. Time 4 some of my own math now b4 return for the proofs.
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