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Author: Tinku Tara

i-1-1-p-i-p-i-is-i-th-prime-diverges-i-1-1-s-i-s-i-is-i-th-whole-square-converges-Why-Even-though-it-appears-that-we-have-more-whole-squares-than-primes-

Question Number 3546 by prakash jain last updated on 15/Dec/15 $$\underset{{i}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{{p}_{{i}} },\:{p}_{{i}} \:{is}\:{i}^{{th}} \:{prime}\:{diverges}. \\ $$$$\underset{{i}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{{s}_{{i}} },\:{s}_{{i}} \:{is}\:{i}^{{th}} \:{whole}\:{square}\:{converges}. \\ $$$$\mathrm{Why}?…

n-1-1-n-1-H-n-n-2-

Question Number 134619 by payamnazerian last updated on 05/Mar/21 $$\:\:\:\: \\ $$$$\:\:\:\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{\boldsymbol{{n}}−\mathrm{1}} \boldsymbol{{H}}_{{n}} }{\boldsymbol{{n}}^{\mathrm{2}} }=??? \\ $$ Terms of Service Privacy Policy Contact:…