What is the 554th prime number?
The 554th prime number is 4013. The next prime is 4019 (a gap of 6) and the one before is 4007.
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 554th one is 4013.
- 2
4013 is prime because no prime up to ā4013 ā 63.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 554th prime is close to 554 Ć ln(554) ā 3500, and here it is 4013.
- 4
4013 has no twin: neither 4011 nor 4015 is prime.
Primes around the 554th
| Position | Prime | Gap from the previous |
|---|---|---|
| 551 | 4001 | 12 |
| 552 | 4003 | 2 |
| 553 | 4007 | 4 |
| 554 | 4013 | 6 |
| 555 | 4019 | 6 |
| 556 | 4021 | 2 |
| 557 | 4027 | 6 |
Questions
What is the 554th prime number?
4013.
Which prime number is 4013?
4013 is the 554th prime number.
What is the sum of the first 554 primes?
1,029,531.