What is the 5535th prime number?
The 5535th prime number is 54409. The next prime is 54413 (a gap of 4) and the one before is 54403.
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 5535th one is 54409.
- 2
54409 is prime because no prime up to ā54409 ā 233.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5535th prime is close to 5535 Ć ln(5535) ā 47705, and here it is 54409.
- 4
54409 has no twin: neither 54407 nor 54411 is prime.
Primes around the 5535th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5532 | 54377 | 6 |
| 5533 | 54401 | 24 |
| 5534 | 54403 | 2 |
| 5535 | 54409 | 6 |
| 5536 | 54413 | 4 |
| 5537 | 54419 | 6 |
| 5538 | 54421 | 2 |
Questions
What is the 5535th prime number?
54409.
Which prime number is 54409?
54409 is the 5535th prime number.
What is the sum of the first 5535 primes?
141,996,564.