A Cullen Number is an integer of the form Cₙ = n ⋅ 2ⁿ + 1, where n is a positive integer. To determine if 3 is Cullen number, we calculate it using the formula for the given value of n. Cullen numbers grow quickly due to the combination of n and 2ⁿ, and they are known for being rare primes. However, they usually turn out to be composite, which makes them an intriguing subject in number theory. For 3, we check if it can be expressed as n ⋅ 2ⁿ + 1 to see if it qualifies.
Understanding the previous and next Cullen Number helps in identifying numerical relationships and patterns. We explore both the preceding and succeeding values based on different property types. The previous Cullen Number to 3 is 1. It is the closest Cullen Number smaller than 3. The next Cullen Number to 3 is 9. It is the nearest Cullen Number larger than 3. By understanding the previous and next values, we can recognize numerical progressions and sequences, making calculations and analysis easier.
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