מספר סקיוז

בערך זה
נעשה שימוש
בסימנים מוסכמים
מתחום המתמטיקה.
להבהרת הסימנים
ראו סימון מתמטי.

בתורת המספרים, מספר סקיוז הוא מספר הנכלל בקבוצה של מספרים גדולים ששימשו את סטנלי סקיוז כחסם מלעיל למספר הטבעי הקטן ביותר המקיים את האי-שוויון

כאשר היא הפונקציה המציגה את מספר המספרים הראשוניים הקטנים מ- (פונקציית המספרים הראשוניים), ו- היא פונקציית האינטגרל הלוגריתמי.

בשנת 1933 קבע סקיוז שבהנחה שהשערת רימן נכונה, קיים שמקיים את האי שוויון שקטן מהמספר ,מספר זה נקבע כמספר סקיוז הראשון. בשנת 1955 קבע סקיוז, ללא קשר להשערת רימן, ש- חייב להיות קטן מ- , ומספר זה נקבע כמספר סקיוז השני. אף על פי ששני המספרים גדולים מאוד, ו-, שניהם קטנים ממספר גרהאם. נכון ל-2015 ידוע כי חסם מלרע של הוא , אך עדיין לא ידוע ערכו המדויק של .

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