What is the 3100th prime number?
The 3100th prime number is 28499. The next prime is 28513 (a gap of 14) and the one before is 28493.
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 3100th one is 28499.
- 2
28499 is prime because no prime up to ā28499 ā 168.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3100th prime is close to 3100 Ć ln(3100) ā 24921, and here it is 28499.
- 4
28499 has no twin: neither 28497 nor 28501 is prime.
Primes around the 3100th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3097 | 28463 | 16 |
| 3098 | 28477 | 14 |
| 3099 | 28493 | 16 |
| 3100 | 28499 | 6 |
| 3101 | 28513 | 14 |
| 3102 | 28517 | 4 |
| 3103 | 28537 | 20 |
Questions
What is the 3100th prime number?
28499.
Which prime number is 28499?
28499 is the 3100th prime number.
What is the sum of the first 3100 primes?
41,442,227.