What is the 5607th prime number?
The 5607th prime number is 55201. The next prime is 55207 (a gap of 6) and the one before is 55171.
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 5607th one is 55201.
- 2
55201 is prime because no prime up to ā55201 ā 234.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5607th prime is close to 5607 Ć ln(5607) ā 48398, and here it is 55201.
- 4
55201 has no twin: neither 55199 nor 55203 is prime.
Primes around the 5607th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5604 | 55147 | 20 |
| 5605 | 55163 | 16 |
| 5606 | 55171 | 8 |
| 5607 | 55201 | 30 |
| 5608 | 55207 | 6 |
| 5609 | 55213 | 6 |
| 5610 | 55217 | 4 |
Questions
What is the 5607th prime number?
55201.
Which prime number is 55201?
55201 is the 5607th prime number.
What is the sum of the first 5607 primes?
145,940,634.