What is the 6034th prime number?
The 6034th prime number is 59693. The next prime is 59699 (a gap of 6) and the one before is 59671.
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 6034th one is 59693.
- 2
59693 is prime because no prime up to ā59693 ā 244.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6034th prime is close to 6034 Ć ln(6034) ā 52527, and here it is 59693.
- 4
59693 has no twin: neither 59691 nor 59695 is prime.
Primes around the 6034th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6031 | 59663 | 4 |
| 6032 | 59669 | 6 |
| 6033 | 59671 | 2 |
| 6034 | 59693 | 22 |
| 6035 | 59699 | 6 |
| 6036 | 59707 | 8 |
| 6037 | 59723 | 16 |
Questions
What is the 6034th prime number?
59693.
Which prime number is 59693?
59693 is the 6034th prime number.
What is the sum of the first 6034 primes?
170,472,519.