What is the 3013th prime number?
The 3013th prime number is 27611. The next prime is 27617 (a gap of 6) and the one before is 27583.
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 3013th one is 27611.
- 2
27611 is prime because no prime up to ā27611 ā 166.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3013th prime is close to 3013 Ć ln(3013) ā 24136, and here it is 27611.
- 4
27611 has no twin: neither 27609 nor 27613 is prime.
Primes around the 3013th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3010 | 27551 | 10 |
| 3011 | 27581 | 30 |
| 3012 | 27583 | 2 |
| 3013 | 27611 | 28 |
| 3014 | 27617 | 6 |
| 3015 | 27631 | 14 |
| 3016 | 27647 | 16 |
Questions
What is the 3013th prime number?
27611.
Which prime number is 27611?
27611 is the 3013th prime number.
What is the sum of the first 3013 primes?
39,003,086.