Math calculator

Next Prime Calculator

Find the smallest prime strictly greater than a supplied integer. The result panel keeps next prime and its numerical trail together.

Next Prime inputs

Provide the numbers

Tasks that depend on Next Prime

Confirming the Next Prime setup

Keep Starting integer integral when Next Prime requires integers. Verify the result through the defining Next Prime identity.

Test zero in Next Prime, then test one in Next Prime. Rebuild the starting integer through Next Prime.

Rework Next Prime without copying Next prime. Begin with Starting integer and preserve the fixed condition. Predict the scale of the Next Prime answer, then compare it with Next prime. Store a changed the fixed condition as another Next Prime case.

Validating Next Prime

Challenge Next prime with a nearby value of Starting integer. Leave the fixed condition fixed during the Next Prime trial. The direction of the new Next prime should agree with the underlying Next Prime relationship.

Reviewing Next Prime in context

Each candidate must pass a primality test before it can be accepted as the next prime. For that connected step, see prime check.

Change only Starting integer during a Next Prime trial. With the fixed condition unchanged, the movement in Next prime should follow the stated mathematical relationship.

Record the first Next Prime setup before editing Starting integer. A later value of Next prime should remain attached to its own inputs.

Keep Starting integer, the fixed condition, and the unrounded Next prime together. Those values let a later reader reproduce this particular Next Prime case.

Delay rounding Next prime until the next Next Prime step is known. Extra digits can prevent a display-rounding difference from accumulating.

Estimate the order of magnitude of Next prime from Starting integer. Apply the fixed condition as stated before repeating the exact Next Prime arithmetic.

Work backward from Next prime to challenge the Next Prime setup. The recovered Starting integer should remain compatible with the original the fixed condition.

Compare the label Next prime with the noun requested by the Next Prime question. Valid arithmetic may still produce the wrong related quantity.

Questions about Next Prime

Can the answer equal the input?

No; the search is strictly greater.

Is there always a next prime?

Yes, primes are infinite.

Why skip even candidates?

Every even integer above two is composite.

Can the gap be larger than two?

Yes, and prime gaps are unbounded.