What is the 3101st prime number?
The 3101st prime number is 28513. The next prime is 28517 (a gap of 4) and the one before is 28499.
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 3101st one is 28513.
- 2
28513 is prime because no prime up to ā28513 ā 168.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3101st prime is close to 3101 Ć ln(3101) ā 24930, and here it is 28513.
- 4
28513 has no twin: neither 28511 nor 28515 is prime.
Primes around the 3101st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3098 | 28477 | 14 |
| 3099 | 28493 | 16 |
| 3100 | 28499 | 6 |
| 3101 | 28513 | 14 |
| 3102 | 28517 | 4 |
| 3103 | 28537 | 20 |
| 3104 | 28541 | 4 |
Questions
What is the 3101st prime number?
28513.
Which prime number is 28513?
28513 is the 3101st prime number.
What is the sum of the first 3101 primes?
41,470,740.