What is the 3010th prime number?
The 3010th prime number is 27551. The next prime is 27581 (a gap of 30) and the one before is 27541.
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 3010th one is 27551.
- 2
27551 is prime because no prime up to ā27551 ā 165.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3010th prime is close to 3010 Ć ln(3010) ā 24109, and here it is 27551.
- 4
27551 has no twin: neither 27549 nor 27553 is prime.
Primes around the 3010th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3007 | 27529 | 2 |
| 3008 | 27539 | 10 |
| 3009 | 27541 | 2 |
| 3010 | 27551 | 10 |
| 3011 | 27581 | 30 |
| 3012 | 27583 | 2 |
| 3013 | 27611 | 28 |
Questions
What is the 3010th prime number?
27551.
Which prime number is 27551?
27551 is the 3010th prime number.
What is the sum of the first 3010 primes?
38,920,311.