What is the 2254th prime number?
The 2254th prime number is 19937. The next prime is 19949 (a gap of 12) and the one before is 19927.
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 2254th one is 19937.
- 2
19937 is prime because no prime up to ā19937 ā 141.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2254th prime is close to 2254 Ć ln(2254) ā 17402, and here it is 19937.
- 4
19937 has no twin: neither 19935 nor 19939 is prime.
Primes around the 2254th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2251 | 19913 | 22 |
| 2252 | 19919 | 6 |
| 2253 | 19927 | 8 |
| 2254 | 19937 | 10 |
| 2255 | 19949 | 12 |
| 2256 | 19961 | 12 |
| 2257 | 19963 | 2 |
Questions
What is the 2254th prime number?
19937.
Which prime number is 19937?
19937 is the 2254th prime number.
What is the sum of the first 2254 primes?
21,011,385.