What is the 3102nd prime number?
The 3102nd prime number is 28517. The next prime is 28537 (a gap of 20) and the one before is 28513.
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 3102nd one is 28517.
- 2
28517 is prime because no prime up to ā28517 ā 168.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3102nd prime is close to 3102 Ć ln(3102) ā 24939, and here it is 28517.
- 4
28517 has no twin: neither 28515 nor 28519 is prime.
Primes around the 3102nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3099 | 28493 | 16 |
| 3100 | 28499 | 6 |
| 3101 | 28513 | 14 |
| 3102 | 28517 | 4 |
| 3103 | 28537 | 20 |
| 3104 | 28541 | 4 |
| 3105 | 28547 | 6 |
Questions
What is the 3102nd prime number?
28517.
Which prime number is 28517?
28517 is the 3102nd prime number.
What is the sum of the first 3102 primes?
41,499,257.