What is the 6029th prime number?
The 6029th prime number is 59651. The next prime is 59659 (a gap of 8) and the one before is 59629.
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 6029th one is 59651.
- 2
59651 is prime because no prime up to ā59651 ā 244.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6029th prime is close to 6029 Ć ln(6029) ā 52478, and here it is 59651.
- 4
59651 has no twin: neither 59649 nor 59653 is prime.
Primes around the 6029th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6026 | 59621 | 4 |
| 6027 | 59627 | 6 |
| 6028 | 59629 | 2 |
| 6029 | 59651 | 22 |
| 6030 | 59659 | 8 |
| 6031 | 59663 | 4 |
| 6032 | 59669 | 6 |
Questions
What is the 6029th prime number?
59651.
Which prime number is 59651?
59651 is the 6029th prime number.
What is the sum of the first 6029 primes?
170,174,164.