What is the 4655th prime number?
The 4655th prime number is 44789. The next prime is 44797 (a gap of 8) and the one before is 44777.
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 4655th one is 44789.
- 2
44789 is prime because no prime up to ā44789 ā 211.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4655th prime is close to 4655 Ć ln(4655) ā 39315, and here it is 44789.
- 4
44789 has no twin: neither 44787 nor 44791 is prime.
Primes around the 4655th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4652 | 44771 | 18 |
| 4653 | 44773 | 2 |
| 4654 | 44777 | 4 |
| 4655 | 44789 | 12 |
| 4656 | 44797 | 8 |
| 4657 | 44809 | 12 |
| 4658 | 44819 | 10 |
Questions
What is the 4655th prime number?
44789.
Which prime number is 44789?
44789 is the 4655th prime number.
What is the sum of the first 4655 primes?
98,335,408.