What is the 5412th prime number?
The 5412th prime number is 53051. The next prime is 53069 (a gap of 18) and the one before is 53047.
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 5412th one is 53051.
- 2
53051 is prime because no prime up to ā53051 ā 230.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5412th prime is close to 5412 Ć ln(5412) ā 46524, and here it is 53051.
- 4
53051 has no twin: neither 53049 nor 53053 is prime.
Primes around the 5412th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5409 | 53003 | 4 |
| 5410 | 53017 | 14 |
| 5411 | 53047 | 30 |
| 5412 | 53051 | 4 |
| 5413 | 53069 | 18 |
| 5414 | 53077 | 8 |
| 5415 | 53087 | 10 |
Questions
What is the 5412th prime number?
53051.
Which prime number is 53051?
53051 is the 5412th prime number.
What is the sum of the first 5412 primes?
135,388,857.