What is the 4678th prime number?
The 4678th prime number is 45053. The next prime is 45061 (a gap of 8) and the one before is 45013.
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 4678th one is 45053.
- 2
45053 is prime because no prime up to ā45053 ā 212.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4678th prime is close to 4678 Ć ln(4678) ā 39532, and here it is 45053.
- 4
45053 has no twin: neither 45051 nor 45055 is prime.
Primes around the 4678th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4675 | 44987 | 4 |
| 4676 | 45007 | 20 |
| 4677 | 45013 | 6 |
| 4678 | 45053 | 40 |
| 4679 | 45061 | 8 |
| 4680 | 45077 | 16 |
| 4681 | 45083 | 6 |
Questions
What is the 4678th prime number?
45053.
Which prime number is 45053?
45053 is the 4678th prime number.
What is the sum of the first 4678 primes?
99,368,473.