What is the 6031st prime number?
The 6031st prime number is 59663. The next prime is 59669 (a gap of 6) and the one before is 59659.
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 6031st one is 59663.
- 2
59663 is prime because no prime up to ā59663 ā 244.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6031st prime is close to 6031 Ć ln(6031) ā 52498, and here it is 59663.
- 4
59663 has no twin: neither 59661 nor 59665 is prime.
Primes around the 6031st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6028 | 59629 | 2 |
| 6029 | 59651 | 22 |
| 6030 | 59659 | 8 |
| 6031 | 59663 | 4 |
| 6032 | 59669 | 6 |
| 6033 | 59671 | 2 |
| 6034 | 59693 | 22 |
Questions
What is the 6031st prime number?
59663.
Which prime number is 59663?
59663 is the 6031st prime number.
What is the sum of the first 6031 primes?
170,293,486.