What is the 6037th prime number?
The 6037th prime number is 59723. The next prime is 59729 (a gap of 6) and the one before is 59707.
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 6037th one is 59723.
- 2
59723 is prime because no prime up to ā59723 ā 244.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6037th prime is close to 6037 Ć ln(6037) ā 52556, and here it is 59723.
- 4
59723 has no twin: neither 59721 nor 59725 is prime.
Primes around the 6037th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6034 | 59693 | 22 |
| 6035 | 59699 | 6 |
| 6036 | 59707 | 8 |
| 6037 | 59723 | 16 |
| 6038 | 59729 | 6 |
| 6039 | 59743 | 14 |
| 6040 | 59747 | 4 |
Questions
What is the 6037th prime number?
59723.
Which prime number is 59723?
59723 is the 6037th prime number.
What is the sum of the first 6037 primes?
170,651,648.