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Rémi Eismann
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1000 sequences decomposed into weight × level + jump on my website. Before continuing, I would like to have an independent verification of my data. There is a complete dump of my database on the home page (.sql.zip, ~105 Mo, central table “sequences” and 1 table per sequence).

#math #numbers #sequences #OEIS #primenumbers #mathematics

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New decompositions:
A145749: Numbers n such that sigma(n)+phi(n)=sigma(n+1)+phi(n+1).
A152470: Largest of three consecutive primes whose sum is a prime.
A156849: Numbers n such that n^2 == 2 mod (23^2).
A157468: Primes of the form sqrt(p-1)-1, where p is a prime.

Now 1000 sequences decomposed into weight × level + jump on https://decompwlj.com (https + responsive)

#math #maths #mathematics #numbers #sequences #primes #OEIS #primenumbers

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New decompositions:
A141165: Primes of the form 9*x^2+7*x*y-5*y^2.
A157483: Numbers n such that n-1 and n+1 are divisible by exactly 3 primes, counted with multiplicity.
A158714: Primes p such that p1 = ceil(p/2) + p is prime and p2 = floor(p1/2) + p1 is prime.
A158913: Primes p such that there is a composite c with sigma(p) = sigma(c).

Now 996 sequences decomposed into weight × level + jump on https://decompwlj.com (https + responsive)

#math #maths #mathematics #numbers #sequences #primes #OEIS #primenumbers

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New decompositions:
A127341: Primes that can be written as the sum of 13 consecutive primes.
A136333: Numbers containing only digits coprime to 10 in their decimal representation.
A137812: Left- or right-truncatable primes.
A141161: Primes of the form 4*x^2+6*x*y-7*y^2.

Now 992 sequences decomposed into weight × level + jump on https://decompwlj.com (https + responsive)

#math #maths #mathematics #numbers #sequences #primes #OEIS #primenumbers

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New decompositions:
A118954: Numbers that cannot be written as 2^k + prime.
A119449: Primes with even digit sum.
A121943: Numbers k such that the central binomial coefficient C(2k,k) is divisible by k^2.
A125022: Even numbers with a unique partition as the sum of 2 squares x^2+y^2, divided by 2.

Now 988 sequences decomposed into weight × level + jump on https://decompwlj.com (https + responsive)

#math #maths #mathematics #numbers #sequences #primes #OEIS #primenumbers

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New decompositions:
A107181: Primes of the form 8x^2 + 9y^2.
A111046: Difference between squares of twin prime pairs.
A117048: Prime numbers that are expressible as the sum of two positive triangular numbers.
A118134: Primes p such that 4p is the sum of two consecutive primes.

Now 984 sequences decomposed into weight × level + jump on https://decompwlj.com (https + responsive)

#math #maths #mathematics #numbers #sequences #primes #OEIS #primenumbers

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New decompositions:
A101095: Fourth difference of fifth powers (A000584).
A103664: Primes p such that the number of divisors of p-1 is less than the number of divisors of p+1.
A105441: Numbers with at least two odd prime factors (not necessarily distinct).
A106881: Primes of the form x^2+xy+9y^2.

Now 980 sequences decomposed into weight × level + jump on https://decompwlj.com (https + responsive)

#math #maths #mathematics #numbers #sequences #primes #OEIS #primenumbers

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New decompositions:
A097103: Numbers n that are the hypotenuse of exactly 22 distinct integer sided right triangles, i.e. n^2 can be written as a sum of two squares in 22 ways.
A097933: Primes such that p divides 3^((p-1)/2) - 1.
A099204: A variation on Flavius's sieve (A000960): Start with the natural numbers; at the k-th sieving step, remove every p-th term of the sequence remaining after the (k-1)-st sieving step, where p is the k-th prime; iterate.
A100493: a(n) = n + n-th semiprime.

Now 976 sequences decomposed into weight × level + jump on https://decompwlj.com (https + responsive)

#math #maths #mathematics #numbers #sequences #primes #OEIS #primenumbers

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New decompositions:
A090693: Positive numbers n such that n^2 - 2n + 2 is a prime.
A091300: Nonprimes of form 6k+1.
A092022: Numbers n such that 16n + 3 is prime.
A092192: Semiprimes that are the sum of two successive semiprimes.

Now 972 sequences decomposed into weight × level + jump on https://decompwlj.com (https + responsive)

#math #maths #mathematics #numbers #sequences #primes #OEIS #primenumbers

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New decompositions:
A087054: Primes of the form pq + qr + rp where p, q and r are distinct primes.
A087248: Squarefree abundant numbers.
A089194: Primes p such that p-1 and p+1 are cube- or higher power-free.
A089589: Iban numbers (the letter i is banned from the English name of the number).

Now 968 sequences decomposed into weight × level + jump on https://decompwlj.com (https + responsive)

#math #maths #mathematics #numbers #sequences #primes #OEIS #primenumbers #pythagorean #squarefree
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