What is the 3542nd prime number?
The 3542nd prime number is 33037. The next prime is 33049 (a gap of 12) and the one before is 33029.
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 3542nd one is 33037.
- 2
33037 is prime because no prime up to ā33037 ā 181.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3542nd prime is close to 3542 Ć ln(3542) ā 28947, and here it is 33037.
- 4
33037 has no twin: neither 33035 nor 33039 is prime.
Primes around the 3542nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3539 | 33013 | 14 |
| 3540 | 33023 | 10 |
| 3541 | 33029 | 6 |
| 3542 | 33037 | 8 |
| 3543 | 33049 | 12 |
| 3544 | 33053 | 4 |
| 3545 | 33071 | 18 |
Questions
What is the 3542nd prime number?
33037.
Which prime number is 33037?
33037 is the 3542nd prime number.
What is the sum of the first 3542 primes?
55,043,899.