Numerical evidence makes it plausible that there are infinitely many primes p such that p + 50 is also prime. List 10 of these primes. Find the remainder when 15+25+35+...+985 +995 +1005 is divided by 4.
Numerical evidence makes it plausible that there are infinitely many primes p such that p + 50 is also prime. List 10 of these primes. Find the remainder when 15+25+35+...+985 +995 +1005 is divided by 4.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 51E
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![5. Numerical evidence makes it plausible that there are infinitely many primes p such that p + 50 is also
prime. List 10 of these primes.
6. Find the remainder when 15+25+35+...+985 +995 +1005 is divided by 4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8651d4fa-9432-4de6-beed-3f519b14dedd%2Fa3621e7c-af0e-47d2-82bf-350562003c1a%2Fxvcuw3r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. Numerical evidence makes it plausible that there are infinitely many primes p such that p + 50 is also
prime. List 10 of these primes.
6. Find the remainder when 15+25+35+...+985 +995 +1005 is divided by 4.
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