What is the 2255th prime number?
The 2255th prime number is 19949. The next prime is 19961 (a gap of 12) and the one before is 19937.
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 2255th one is 19949.
- 2
19949 is prime because no prime up to ā19949 ā 141.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2255th prime is close to 2255 Ć ln(2255) ā 17411, and here it is 19949.
- 4
19949 has no twin: neither 19947 nor 19951 is prime.
Primes around the 2255th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2252 | 19919 | 6 |
| 2253 | 19927 | 8 |
| 2254 | 19937 | 10 |
| 2255 | 19949 | 12 |
| 2256 | 19961 | 12 |
| 2257 | 19963 | 2 |
| 2258 | 19973 | 10 |
Questions
What is the 2255th prime number?
19949.
Which prime number is 19949?
19949 is the 2255th prime number.
What is the sum of the first 2255 primes?
21,031,334.