11. Infinite divisibility alone implies infiniteness but not uncountability, as the rational numbers exemplify. 12. Of the modular group, with " N " ordered by divisibility . 13. This way, multiple divisibility checks can be preformed without repeatedly restarting the program. 14. This is the general application of the test for 9-divisibility in base 10. 15. The divisibility is attributable to the alternate representation 16. This allows adding and subtracting alternating sets of three digits to determine divisibility by seven. 17. :If we ignore divisibility by odd primes then your initial computation has two errors. 18. Regular primes may be defined via the divisibility of either class numbers or of Bernoulli numbers. 19. The concept of infinite divisibility of probability distributions was introduced in 1929 by Bruno de Finetti. 20. Both classes of distribution have properties such as infinitely divisibility , power law tails and unimodality.