Comments for a. w. walker https://awwalker.com mathematics and miscellany Wed, 28 Jan 2026 16:12:10 +0000 hourly 1 http://wordpress.com/ Comment on Prime-Generating Polynomials by Alexandre le Savant https://awwalker.com/2017/02/27/prime-generating-polynomials/comment-page-1/#comment-2420 Wed, 28 Jan 2026 16:12:10 +0000 http://awwalker.com/?p=526#comment-2420 In reply to Cooper Gates.

yeah go for it, sorry i am late by 7y

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Comment on The Philosophy of Square-Root Cancellation by The Square Root Cancellation Heuristic | George Shakan https://awwalker.com/2017/09/01/the-philosophy-of-square-root-cancellation/comment-page-1/#comment-2394 Tue, 01 Aug 2023 23:21:14 +0000 http://awwalker.com/?p=1386#comment-2394 […] and turns out to be very well-studied concept in several areas of mathematics (see this post for Number Theory or this post for […]

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Comment on Two Classic Problems in Point-Counting by Gerald C https://awwalker.com/2017/05/04/two-classic-problems-in-point-counting/comment-page-1/#comment-2375 Sat, 01 Jul 2023 16:37:05 +0000 http://awwalker.com/?p=1382#comment-2375 Lovedd reading this thank you

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Comment on Formal Groups and Where to Find Them by Classify all solutions to $f(x+y) g(xy) = f(x) + f(y)$ – Mathematics – Forum https://awwalker.com/2017/02/05/formal-groups-and-where-to-find-them/comment-page-1/#comment-2354 Thu, 12 Jan 2023 00:23:16 +0000 http://awwalker.com/?p=67#comment-2354 […] All of this is summarized and presented with more context in MSE's very own Alex Walker's excellent blog post, Formal Groups and Where to Find Them. […]

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Comment on Prime-Generating Polynomials by Oscar Lanzi https://awwalker.com/2017/02/27/prime-generating-polynomials/comment-page-1/#comment-2180 Mon, 18 Apr 2022 21:08:26 +0000 http://awwalker.com/?p=526#comment-2180 Your list of n²+n+41 primes gives 609 for n=39. But the true value at that value if n is 1601 (which us prime).

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Comment on The Orders of Simple Groups by Andrew Baker https://awwalker.com/2017/02/05/the-orders-of-simple-groups/comment-page-1/#comment-2097 Sun, 09 Jan 2022 11:52:07 +0000 http://awwalker.com/?p=33#comment-2097 In the Proof of Theorem 2, I think the inequalities should read $P\leqslant Z(C_G(P))=Z(N_G(P))$.

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Comment on The Forgotten Method of Prosthaphaeresis by Shubham Kumar https://awwalker.com/2018/11/19/the-forgotten-method-of-prosthaphaeresis/comment-page-1/#comment-2024 Sat, 18 Dec 2021 19:37:33 +0000 http://awwalker.com/?p=1582#comment-2024 Very nice article, very informative.

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Comment on A Proof of Stirling’s Approximation via Contour Integration by Jean S https://awwalker.com/2020/02/18/a-proof-of-stirlings-approximation-via-contour-integration/comment-page-1/#comment-1909 Tue, 19 Oct 2021 00:52:54 +0000 http://awwalker.com/?p=1667#comment-1909 I enjoyed readding this

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Comment on Prime-Generating Polynomials by Cooper Gates https://awwalker.com/2017/02/27/prime-generating-polynomials/comment-page-1/#comment-95 Tue, 01 May 2018 23:18:16 +0000 http://awwalker.com/?p=526#comment-95 Nice proof that polynomials of degree > 1 can have arbitrarily long prime streaks.

It reminds me of choosing k ordered pairs. There must exist a polynomial with degree no greater than k – 1 that intersects all k points.
For instance, (0, 41), (1, 43), (2, 47), and so on through 150 consecutive primes can be fit with a polynomial of degree 149 or lower.

The trouble with this concept is that the polynomial’s degree keeps growing. How many primes can it find besides the primes already known to define it with?

Thus the Bouniakowsky conjecture comes up again. I limit my searching algorithms to degrees not exceeding ten, because I prefer
f(n) for 0<=n<k to find more primes than there are primes < k as k grows without bound. Why not map from integers to integers and get more primes out than you plugged in?
Is that a good strategy, or should I use higher degrees more?

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Comment on Sums of Squares and Density by Alex https://awwalker.com/2017/02/11/sums-of-squares-and-density/comment-page-1/#comment-83 Sat, 20 Jan 2018 13:11:20 +0000 http://awwalker.com/?p=187#comment-83 I am now not positive where you are getting your information, but good topic. I needs to spend a while finding out more or figuring out more. Thank you for fantastic info I was looking for this info for my mission.

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