What is the 3107th prime number?
The 3107th prime number is 28559. The next prime is 28571 (a gap of 12) and the one before is 28549.
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 3107th one is 28559.
- 2
28559 is prime because no prime up to ā28559 ā 168.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3107th prime is close to 3107 Ć ln(3107) ā 24985, and here it is 28559.
- 4
28559 has no twin: neither 28557 nor 28561 is prime.
Primes around the 3107th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3104 | 28541 | 4 |
| 3105 | 28547 | 6 |
| 3106 | 28549 | 2 |
| 3107 | 28559 | 10 |
| 3108 | 28571 | 12 |
| 3109 | 28573 | 2 |
| 3110 | 28579 | 6 |
Questions
What is the 3107th prime number?
28559.
Which prime number is 28559?
28559 is the 3107th prime number.
What is the sum of the first 3107 primes?
41,641,990.