What is the 5577th prime number?
The 5577th prime number is 54833. The next prime is 54851 (a gap of 18) and the one before is 54829.
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 5577th one is 54833.
- 2
54833 is prime because no prime up to ā54833 ā 234.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5577th prime is close to 5577 Ć ln(5577) ā 48109, and here it is 54833.
- 4
54833 has no twin: neither 54831 nor 54835 is prime.
Primes around the 5577th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5574 | 54787 | 8 |
| 5575 | 54799 | 12 |
| 5576 | 54829 | 30 |
| 5577 | 54833 | 4 |
| 5578 | 54851 | 18 |
| 5579 | 54869 | 18 |
| 5580 | 54877 | 8 |
Questions
What is the 5577th prime number?
54833.
Which prime number is 54833?
54833 is the 5577th prime number.
What is the sum of the first 5577 primes?
144,290,090.