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Special notice only
• ### Product of Consecutive Primes Plus or Minus their Sum

As used here, ST means P and LT means (P+2), where P and (P+2) are prime. Twin primes means P and (P+2). One, there exist pairs of consecutive positive odd primes P
w_sindelar@juno.com Jul 31
• ### Prime Q, Q^(log(Q)) and a Pair of Consecutive Primes

One, for every odd prime Q>13, there exists a pair of consecutive positive odd primes P1 1, there exists a set of N consecutive positive odd primes P1,P2
w_sindelar@juno.com Jun 22
• ### A Prime, a Square and Sum of Digits

One, For any positive odd prime P, there exists a positive integer k, such that the sum SD of the digits of S=2^(k+P) is prime, and S is square. The smallest example is P= 3. k=1. S= 16. S is square. Sum SD of digits of S equals 7. SD is prime. Number of digits in S is 2. A larger example is P= 104729. k= 5. S is square. Sum SD of digits of S equals 141667. SD is prime. Number of...
w_sindelar@juno.com Jun 14
• ### Exceptional Sets of Consecutive Primes

Exceptional Sets of Consecutive Primes As used here, SOR means the sum of the 9 remainders that results, when any positive integer N is divided in order by each of these integers 1 to 9 inclusive. SORP means the set of those 9 remainders. To illustrate, if you divide 23 in order by each of these integers 1 to 9, you get these remainders (0, 1, 2, 3, 3, 5, 2, 7, 5). Their sum SOR...
w_sindelar@juno.com Apr 11
• ### No Set of 5 Consecutive TPMs Exists such that--

As used here, TPM means (P+1), where P and (P+2) are prime. One, no set of 5 consecutive TPM’s exists, such that the sum of each adjacent pair of TPM’s equals a TPM. Two, no set of 20 consecutive TPM’s exists, such that the difference between each adjacent pair of TPM’s equals a TPM. Here is a statement one example of the smallest set of 4 consecutive TPM’s: (2310, 2340...
w_sindelar@juno.com Mar 21
• ### Inserting Digits into Odd Integers

One, for any positive odd integer N with two or more digits, and with the rightmost digit equal to 1, 3, 7 or 9, at least one of the 10 digits D, 0 to 9 inclusive, when inserted between a pair of adjacent digits of N, will convert N to a prime number. Two, no positive odd integer N with two or more digits, and with the rightmost digit equal to 1, 3, 7 or 9 exists, such that each...
w_sindelar@juno.com Feb 23
• ### Forbidden Square Number

One, no positive odd prime P exists, such that the sum S of its digits equals the odd square 81. Can any one disprove this? Here is what I managed to find by brute force and luck. The sum S of the digits of P= 997 equals the odd square 25. S of P= 598999 equals 49. S of P= 25852016738884976641597 equals 121. S of P= 8841761993739701954543616088999 equals 169. It seems that...
w_sindelar@juno.com Feb 8
• ### Basic Facts Concerning Consecutive Prime Pairs

One, all pairs of consecutive positive odd primes P
w_sindelar@juno.com Jan 24
• ### The P, k and TPM Connection

As used here, TPM means (P+1) where P and (P+2) are prime. One, for many positive odd primes P>7, there exists a positive integer k, such that these two expressions will evaluate to TPM’s, M2=k*P+2 and M8=k*P+8. The integer k will always be divisible by 10 with no remainder. Here is a random example: P= 100003. k= 256000. k*P= 25600768000. M2=k*P+2= 25600768002. M8=k*P+8...
w_sindelar@juno.com Jan 1
• ### Re: Concealed Property of the Larger Prime ,of a TPM

Re: Concealed Property of the Larger Prime ,of a TPM Thank you David. I apologize for posting this message, and message 25960. It seems that ordinal and cardinal numbers confound me now, as much as they did, when I was six years old. Bill Sindelar ____________________________________________________________ How To Get More Energy (Do This Every Day) gundrymd.com http...
w_sindelar@juno.com Dec 5, 2016