What is the 5574th prime number?
The 5574th prime number is 54787. The next prime is 54799 (a gap of 12) and the one before is 54779.
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 5574th one is 54787.
- 2
54787 is prime because no prime up to ā54787 ā 234.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5574th prime is close to 5574 Ć ln(5574) ā 48081, and here it is 54787.
- 4
54787 has no twin: neither 54785 nor 54789 is prime.
Primes around the 5574th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5571 | 54767 | 16 |
| 5572 | 54773 | 6 |
| 5573 | 54779 | 6 |
| 5574 | 54787 | 8 |
| 5575 | 54799 | 12 |
| 5576 | 54829 | 30 |
| 5577 | 54833 | 4 |
Questions
What is the 5574th prime number?
54787.
Which prime number is 54787?
54787 is the 5574th prime number.
What is the sum of the first 5574 primes?
144,125,629.