What is the 5602nd prime number?
The 5602nd prime number is 55117. The next prime is 55127 (a gap of 10) and the one before is 55109.
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 5602nd one is 55117.
- 2
55117 is prime because no prime up to ā55117 ā 234.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5602nd prime is close to 5602 Ć ln(5602) ā 48350, and here it is 55117.
- 4
55117 has no twin: neither 55115 nor 55119 is prime.
Primes around the 5602nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5599 | 55079 | 6 |
| 5600 | 55103 | 24 |
| 5601 | 55109 | 6 |
| 5602 | 55117 | 8 |
| 5603 | 55127 | 10 |
| 5604 | 55147 | 20 |
| 5605 | 55163 | 16 |
Questions
What is the 5602nd prime number?
55117.
Which prime number is 55117?
55117 is the 5602nd prime number.
What is the sum of the first 5602 primes?
145,664,825.