A045716: a(n) is the binary order (A029837) of the n-th primorial number, A002110(n)

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150 sequences decomposed into weight × level + jump in one GIF (log(weight),log(level)):
1000 sequences decomposed on https://decompwlj.com

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A045708: Primes with first digit 2

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3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A045708.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A045708.html

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A045707: Primes with first digit 1

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A045707.html
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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.

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A045699: Numbers of the form p^2 + q^3, p,q prime

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A045699.html
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A045636: Numbers of the form p^2 + q^2, with p and q primes

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A045636.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A045636.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A045636.html

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My data have not been verified but my work is highly reproducible.
- Downloads (csv, img, dump) ➡️ https://decompwlj.com/
- Algorithms ➡️ https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump#Algorithms

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A045572: Numbers that are odd but not divisible by 5

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A045572.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A045572.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A045572.html

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A045542: Sub-perfect powers: perfect powers (squares, cubes etc., not including 1) minus 1

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

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