What is the 6032nd prime number?
The 6032nd prime number is 59669. The next prime is 59671 (a gap of 2) and the one before is 59663.
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 6032nd one is 59669.
- 2
59669 is prime because no prime up to ā59669 ā 244.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6032nd prime is close to 6032 Ć ln(6032) ā 52508, and here it is 59669.
- 4
59669 is a twin prime: 59669 and 59671 are both prime.
Primes around the 6032nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6029 | 59651 | 22 |
| 6030 | 59659 | 8 |
| 6031 | 59663 | 4 |
| 6032 | 59669 | 6 |
| 6033 | 59671 | 2 |
| 6034 | 59693 | 22 |
| 6035 | 59699 | 6 |
Questions
What is the 6032nd prime number?
59669.
Which prime number is 59669?
59669 is the 6032nd prime number.
What is the sum of the first 6032 primes?
170,353,155.