Blogged: Using configurable token lifetimes in Microsoft Entra ID, .NET and Microsoft Graph

https://damienbod.com/2026/05/11/using-configurable-token-lifetimes-in-microsoft-entra-id-net-and-microsoft-graph/

#graph #dotnet #entra #entraid #jwt #oauth #oidc #openidconnect

A004745: Numbers whose binary expansion does not contain 001
A004745 ➡️ https://oeis.org/A004745

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A004745.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A004745.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A004745.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

In the decomposition into weight × level + jump, the Twin Prime Conjecture becomes: "The number of prime numbers with a weight of 3 is infinite"

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A004743: Numbers whose binary expansion does not contain 110
A004743 ➡️ https://oeis.org/A004743

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A004743.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A004743.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A004743.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A004614: Numbers that are divisible only by primes congruent to 3 mod 4
A004614 ➡️ https://oeis.org/A004614

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A004614.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A004614.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A004614.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

We see the fundamental theorem of arithmetic and the sieve of Eratosthenes in the decomposition into weight × level + jump of natural numbers. Applied to prime numbers this decomposition leads to a new classification of primes.

#decompwlj #math #mathematics #maths #sequence #OEIS #graph #natural #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieveOfEratosthenes #Eratosthenes #sieve #fundamental #theorem #arithmetic #research

A004613: Numbers that are divisible only by primes congruent to 1 mod 4
A004613 ➡️ https://oeis.org/A004613

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A004613.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A004613.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A004613.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A004611: Divisible only by primes congruent to 1 mod 3
A004611 ➡️ https://oeis.org/A004611

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A004611.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A004611.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A004611.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

My first, favorite and most important sequence, the weights of prime numbers: A117078
We see prime numbers classified by level and by weight on the graph.

A117078: a(n) is the smallest k such that prime(n+1) = prime(n) + (prime(n) mod k), or 0 if no such k exists ➡️ https://oeis.org/A117078

#decompwlj #math #mathematics #maths #sequence #OEIS #graph #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A004432: Numbers that are the sum of 3 distinct nonzero squares
A004432 ➡️ https://oeis.org/A004432

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A004432.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A004432.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A004432.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research