What is the 2356th prime number?
The 2356th prime number is 20947. The next prime is 20959 (a gap of 12) and the one before is 20939.
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 2356th one is 20947.
- 2
20947 is prime because no prime up to ā20947 ā 144.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2356th prime is close to 2356 Ć ln(2356) ā 18294, and here it is 20947.
- 4
20947 has no twin: neither 20945 nor 20949 is prime.
Primes around the 2356th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2353 | 20921 | 18 |
| 2354 | 20929 | 8 |
| 2355 | 20939 | 10 |
| 2356 | 20947 | 8 |
| 2357 | 20959 | 12 |
| 2358 | 20963 | 4 |
| 2359 | 20981 | 18 |
Questions
What is the 2356th prime number?
20947.
Which prime number is 20947?
20947 is the 2356th prime number.
What is the sum of the first 2356 primes?
23,094,905.