2026-08-31T11:25:07Z https://nostr.ae EdS https://nostr.ae/npub1up7d2d0yrep43lgguzpxxk9urreu5g83xrak8kvnk4n8xy6h2wrqfadf46 https://media.mathstodon.xyz/accounts/avatars/112/597/014/469/076/743/original/c5d5f0e36794f49a.png https://media.mathstodon.xyz/accounts/avatars/112/597/014/469/076/743/original/c5d5f0e36794f49a.png https://nostr.ae/nevent1qqstnca885cw0ve2yd9ywamaasvcxqpvze6kr9kxdqn8dhq2749crrszyrs8e4f4us0yxk8aprsgyc6chsv08j3q7yc0kc7ejw6kvucn2afcvhlwhzu In reply to <a href='/nevent1qqs0gmt70ahyw3fxxhtp2w4umevzxxugq79h6ncg0x49ac9uyddywwqenplsm'>nevent1q…plsm</a><br/>_________________________<br/><br/>Or you could post to a retrocomputing forum! <br/><br/>&lt;Just an idea&gt;<br/><br/><span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/npub1emvg23qnavcef9p5lheqqhxay2fh5jcjuf5eemp50x0g74csajysyw7mrd" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>Ethan Blanton</span> (<span class="italic">npub1emv…7mrd</span>)</a></span> <span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/npub13sjjskhwdl0k3pmuqg3ajpdm3f8r4845msl0xsuql8rx6wwen8cqzmx6nv" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>Paolo Amoroso</span> (<span class="italic">npub13sj…x6nv</span>)</a></span> 2026-08-31T11:25:44Z https://nostr.ae/nevent1qqs93qnmd5ce4s9d5ylu3qqf8k07exyt35uvfpcqg39zngevl8phq9gzyrs8e4f4us0yxk8aprsgyc6chsv08j3q7yc0kc7ejw6kvucn2afcvau0xpt In reply to <a href='/nevent1qqsfv93dgyp90e8lmnd4awq238wndf0fyn50z2ru66yjqs4u4drrass8uym9j'>nevent1q…ym9j</a><br/>_________________________<br/><br/>Pleased to note that I&#39;m already familiar with &#34;The first fifty million prime numbers&#34; and second your enthusiasm for it!<br/><span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/npub1nf4p4rh06z6n6lsvje4txk7eqs23y3hs8vd7nraq6tgwady5qvsqy3nqe4" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>John Carlos Baez</span> (<span class="italic">npub1nf4…nqe4</span>)</a></span> <br/><br/>Had to check my notes, and I see I&#39;ve put it in a small collection of related works:<br/><br/>some readings on prime gaps<br/><br/>The first 50 million prime numbers<br/>Zagler, 1975, 13 pages<br/><a href="https://people.mpim-bonn.mpg.de/zagier/files/doi/10.1007/BF03039306/fulltext.pdf">https://people.mpim-bonn.mpg.de/zagier/files/doi/10.1007/BF03039306/fulltext.pdf</a><br/><br/>Some computational results regarding the prime numbers below 2,000,000,000<br/>Bohman, BIT, 1973, 3 pages<br/><a href="https://doi.org/10.1007/BF01933496">https://doi.org/10.1007/BF01933496</a><br/><br/>The First Occurrence of Large Gaps Between Successive Primes<br/>Brent 1973, 5 pages<br/><a href="https://maths-people.anu.edu.au/~brent/pd/rpb019.pdf">https://maths-people.anu.edu.au/~brent/pd/rpb019.pdf</a><br/><br/>On Maximal Gaps between Successive Primes<br/>Shanks, 1964, 7 pages<br/><a href="https://doi.org/10.2307/2002951">https://doi.org/10.2307/2002951</a><br/><br/>On First Appearance of Prime Differences<br/>Lander, Mathematics of Computation, 1967, 7 pages<br/><a href="https://doi.org/10.2307/2003253">https://doi.org/10.2307/2003253</a><br/><br/>First occurrence prime gaps<br/>2021, 29 pages<br/><a href="https://oeis.org/A000101/a000101.pdf">https://oeis.org/A000101/a000101.pdf</a><br/>Some or all of the gaps occurring below 1e5 were almost certainly known prior to the indicated discovery, and the attribution of some of the other gaps below 1e8 is in doubt; for example, Appel and Rosser published significant (but incomplete) results for the gaps below 1e8 in 1961, the same year that Gruenberger and Armerding published definitive results to 104395289 from data generated by Baker and Gruenberger in 1959. 2026-08-31T11:24:58Z https://nostr.ae/nevent1qqsyvtj58p2jwf65lctrfftmmndgkjjqv07upwmtp87hclqntrdkyuszyrs8e4f4us0yxk8aprsgyc6chsv08j3q7yc0kc7ejw6kvucn2afcv5c0tzr In reply to <a href='/nevent1qqsf35s5gvlnc4q37uesr0hplfty5vv9hk4nfuajnkvfkexm85a5zjgxausuc'>nevent1q…usuc</a><br/>_________________________<br/><br/>From the paper, delightfully:<br/><br/>&gt; The chief purpose of this article is to show that the infrared divergences in the quantum theory of gravitation can be treated in the same manner as in quantum electrodynamics. ... My reasons for now attacking this question are: (i) Because I can... (2) Because something might go wrong, and that would be interesting. Unfortunately, nothing does go wrong.<br/><br/><span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/npub1nf4p4rh06z6n6lsvje4txk7eqs23y3hs8vd7nraq6tgwady5qvsqy3nqe4" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>John Carlos Baez</span> (<span class="italic">npub1nf4…nqe4</span>)</a></span> 2026-08-13T10:57:10Z https://nostr.ae/nevent1qqsx8fw0qyx8c7n3lrgd55zyg66jeay3t6xtjptglap7y3qud8m6w7czyrs8e4f4us0yxk8aprsgyc6chsv08j3q7yc0kc7ejw6kvucn2afcvm38eyk How good is your #retrocomputing Basic&#39;s arithmetic? Is it better than a Cray? #BBCBasic version 4 aces the following test. PET #basic, not so much.<br/><br/>110 I=64<br/>120 E=1<br/>130 F=0<br/>140 C=0<br/>150 E=E/2<br/>160 IF 15*E=((1+15*E)-1) GOTO 150<br/>170 E=E+E<br/>180 PRINT ;1-LOG(E)/LOG(2)&#34; bit float accuracy detected&#34;<br/>190 FOR J=1 TO I-1<br/>200 FOR Y=1+J/I-I*E TO 1+J/I+I*E STEP E<br/>210 C=C+2<br/>220 IF Y/SQR(Y*Y)&gt;1 F=F+1<br/>230 Z=Y+Y<br/>240 IF Z/SQR(Z*Z)&gt;1 F=F+1<br/>250 NEXT<br/>260 NEXT<br/>270 PRINT ;&#34;Done!&#34;<br/>280 PRINT ;F&#34; fails (&#34;INT(.5+F/C*100)&#34;%) in &#34;C&#34; trials&#34;<br/><br/> The test is derived from William Kahan&#39;s 1990 paper blasting the arithmetic on Crays - 1, 2, XMP and YMP. Five years later, Cray did adopt IEEE floating point - optionally.<br/><br/><a href="https://cray-history.net/wp-content/uploads/2021/08/CrayUG-IEEE.pdf">https://cray-history.net/wp-content/uploads/2021/08/CrayUG-IEEE.pdf</a><br/> <img src="https://media.mathstodon.xyz/media_attachments/files/115/645/548/808/205/737/original/733160b373cd517f.png"> <br/> 2025-12-01T17:47:38Z https://nostr.ae/nevent1qqsxzdgrhqhh9dh3x396k5yu7uhk7w8l6yh7h7jxkt770kzyl5axn4szyrs8e4f4us0yxk8aprsgyc6chsv08j3q7yc0kc7ejw6kvucn2afcvehlq6q In reply to <a href='/nevent1qqs9wnq28pgu8yj9en6rq47ceda9ffxrmyrkacsukykrsxeyly96quc3jhae0'>nevent1q…hae0</a><br/>_________________________<br/><br/>I left sdf.org because it was too slow and sometimes down. I went to mathstodon.xyz because it seemed appropriate but I admit I didn&#39;t really look very carefully. Hopefully it&#39;s well-run and backed-up.<br/><br/><a href="https://mathstodon.xyz/about">https://mathstodon.xyz/about</a><br/><br/>The actual topicality of an instance isn&#39;t too important to me: I don&#39;t look at local timelines. It&#39;s more signalling my interests. I don&#39;t post often enough to be annoyingly off-topic - hopefully.<br/><br/><span itemprop="mentions" itemscope itemtype="https://schema.org/Person"><a itemprop="url" href="/npub1sy08l0jqgsysgmx82k2zdaf9lfwqm8vjg78zjf3da5rs63hq9m5swm8vde" class="bg-lavender dark:prose:text-neutral-50 dark:text-neutral-50 dark:bg-garnet px-1"><span>Paolo Amoroso</span> (<span class="italic">npub1sy0…8vde</span>)</a></span> [@charles_perkins](<a href="https://mastodon.sdf.org/@charles_perkins">https://mastodon.sdf.org/@charles_perkins</a> ) 2025-04-26T17:28:33Z