What is the 5606th prime number?
The 5606th prime number is 55171. The next prime is 55201 (a gap of 30) and the one before is 55163.
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 5606th one is 55171.
- 2
55171 is prime because no prime up to ā55171 ā 234.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5606th prime is close to 5606 Ć ln(5606) ā 48389, and here it is 55171.
- 4
55171 has no twin: neither 55169 nor 55173 is prime.
Primes around the 5606th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5603 | 55127 | 10 |
| 5604 | 55147 | 20 |
| 5605 | 55163 | 16 |
| 5606 | 55171 | 8 |
| 5607 | 55201 | 30 |
| 5608 | 55207 | 6 |
| 5609 | 55213 | 6 |
Questions
What is the 5606th prime number?
55171.
Which prime number is 55171?
55171 is the 5606th prime number.
What is the sum of the first 5606 primes?
145,885,433.