What is the 3537th prime number?
The 3537th prime number is 32993. The next prime is 32999 (a gap of 6) and the one before is 32987.
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 3537th one is 32993.
- 2
32993 is prime because no prime up to ā32993 ā 181.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3537th prime is close to 3537 Ć ln(3537) ā 28901, and here it is 32993.
- 4
32993 has no twin: neither 32991 nor 32995 is prime.
Primes around the 3537th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3534 | 32971 | 2 |
| 3535 | 32983 | 12 |
| 3536 | 32987 | 4 |
| 3537 | 32993 | 6 |
| 3538 | 32999 | 6 |
| 3539 | 33013 | 14 |
| 3540 | 33023 | 10 |
Questions
What is the 3537th prime number?
32993.
Which prime number is 32993?
32993 is the 3537th prime number.
What is the sum of the first 3537 primes?
54,878,798.