What is the 356th prime number?
The 356th prime number is 2393. The next prime is 2399 (a gap of 6) and the one before is 2389.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 356th one is 2393.
- 2
2393 is prime because no prime up to ā2393 ā 48.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 356th prime is close to 356 Ć ln(356) ā 2091, and here it is 2393.
- 4
2393 has no twin: neither 2391 nor 2395 is prime.
Primes around the 356th
| Position | Prime | Gap from the previous |
|---|---|---|
| 353 | 2381 | 4 |
| 354 | 2383 | 2 |
| 355 | 2389 | 6 |
| 356 | 2393 | 4 |
| 357 | 2399 | 6 |
| 358 | 2411 | 12 |
| 359 | 2417 | 6 |
Questions
What is the 356th prime number?
2393.
Which prime number is 2393?
2393 is the 356th prime number.
What is the sum of the first 356 primes?
393,961.