nextprod
nextprod([k_1,k_2,...], n)
Next integer not less than n that can be written as $\prod k_i^{p_i}$ for integers $p_1$, $p_2$, etc.
Examples
The nextprod function in Julia returns the next integer not less than n that can be written as the product of k_i raised to certain powers p_i.
julia> nextprod([2, 3], 10)
12This example finds the next integer greater than or equal to 10 that can be written as the product of powers of 2 and 3. In this case, the next integer is 12, which is equal to 2^2 * 3^1.
julia> nextprod([2, 3], 20)
24Here, the next integer greater than or equal to 20 that can be expressed as the product of powers of 2 and 3 is 24 (2^3 * 3^1).
julia> nextprod([2, 3, 5], 100)
120In this example, the next integer not less than 100 that can be represented as the product of powers of 2, 3, and 5 is 120 (2^3 * 3^1 * 5^1).
Common mistake example:
julia> nextprod([2, 3], -5)
ERROR: ArgumentError: invalid nextprod arguments: -5The nextprod function expects a positive value for n. If a negative value is provided, it will throw an ArgumentError. Ensure that n is greater than or equal to zero when using nextprod.
See Also
abs2, beta, binomial, ceil, cell, cross, ctranspose, ctranspose!, cummin, cumprod, cumprod!, cumsum, cumsum!, cumsum_kbn, div, divrem, eigfact, eigfact!, eigmin, eps, erf, erfc, erfcinv, erfcx, erfi, erfinv, exp, exp10, exp2, expm1, exponent, factor, factorial, factorize, floor, gcd, invmod, log, log10, log1p, log2, logspace, max, min, mod, mod1, modf, next, nextpow, nextprod, num, primes, primesmask, prod, realmin, sqrt, sum!, sumabs, sumabs!, sumabs2, sumabs2!,User Contributed Notes
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