HELLO,
Thank you for your thoughtful response giving your definition of supremum. Definitions are a very important part of any mathematicians' thought and work. I happened on this web page as a good friend of my who is sometimes impatient with mathematics and with good reason being a medical doctor became engaged with my discussing integer number sequences. I was thinking of a problem and conjecture from number theory involving the Primes, composite numbers, isolate integer bounds, and Prime number cycles and so on. Well, I contended my medical friend would not guess a number sequence as Prime but only as odd. I was right, and we happily continued onward looking at low positive integer sequences and some short integer measure Prime Cycles. I chose 15 as the max sequence value and used the term supremum. For my friend's edification and learning, I searched, found this page, and forwarded it to my friend.
Truly yours, from New York City in the United States, Dr. ELYAS FRAENKEL ISAACS; PHD, DPH, DDiv., MD(res)