What is the 4585th prime number?
The 4585th prime number is 44053. The next prime is 44059 (a gap of 6) and the one before is 44041.
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 4585th one is 44053.
- 2
44053 is prime because no prime up to ā44053 ā 209.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4585th prime is close to 4585 Ć ln(4585) ā 38654, and here it is 44053.
- 4
44053 has no twin: neither 44051 nor 44055 is prime.
Primes around the 4585th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4582 | 44027 | 6 |
| 4583 | 44029 | 2 |
| 4584 | 44041 | 12 |
| 4585 | 44053 | 12 |
| 4586 | 44059 | 6 |
| 4587 | 44071 | 12 |
| 4588 | 44087 | 16 |
Questions
What is the 4585th prime number?
44053.
Which prime number is 44053?
44053 is the 4585th prime number.
What is the sum of the first 4585 primes?
95,225,552.