Hi Penn,
The evangelists Mark and Luke did not have direct contact with Jesus Christ.
CATHOLIC ENCYCLOPEDIA: Saint Mark
CATHOLIC ENCYCLOPEDIA: Gospel of Saint Luke
Although these sources are from a Catholic cite, you will find corroboration for it anywhere.
In the first entry concerning Mark, there appears to be a little vagueness. It seems Mark was old enough to have been around in Jerusalem, etc., but they are not sure if he did or did not directly see Jesus:
"In the preface to his <!--k03--><!--
-->Gospel<!----> in
manuscripts of the
Vulgate, <!--k30-->Mark<!--k31--> is represented as having been a
Jewish priest: "Mark the
Evangelist, who exercised the
priestly office in
Israel, a
Levite by race". <!--k30-->Early<!--k31--> <!--k30-->authorities<!--k31-->, however, are <!--k05-->
silent upon the point, and it is perhaps only an inference from his relation to <!--k30-->Barnabas<!--k31--> the
Levite (
Acts 4:36). <!--k03--><!--
-->Papias<!----> (in
Eusebius, "Hist. eccl.", III, <!--k30-->xxxix<!--k31-->) says, on the authority of "the elder", that <!--k30-->Mark<!--k31--> neither heard the <!--k30-->Lord<!--k31--> nor followed Him (
oute <!--k30-->gar<!--k31--> <!--k30-->ekouse<!--k31--> <!--k30-->tou<!--k31--> <!--k30-->kurion<!--k31--> <!--k30-->oute<!--k31--> <!--k30-->parekoluthesen<!--k31--> <!--k30-->auto<!--k31-->), and the same statement is made in the <!--k30-->Dialogue<!--k31--> of <!--k30-->Adamantius<!--k31--> (fourth century, <!--k30-->Leipzig<!--k31-->, 1901, p. 8), by
Eusebius ("Demonst. Evang.", III, v), by
St. Jerome ("In <!--k30-->Matth."<!--k31-->), by <!--k30-->St.<!--k31--> <!--k30-->Augustine<!--k31--> ("De <!--k30-->Consens<!--k31-->. Evang."), and is suggested by the
Muratorian Fragment.
Later <!--k30-->tradition<!--k31-->, however, makes <!--k30-->Mark<!--k31--> one of the <!--k30-->seventy-two<!--k31--> <!--k05-->disciples, and St. Epiphanius ("Hær", li, 6) says he was one of those who withdrew from <!--k30-->Christ<!--k31--> (John 6:67). The later <!--k30-->tradition<!--k31--> can have no weight against the earlier evidence, but the statement that <!--k30-->Mark<!--k31--> neither heard the <!--k30-->Lord<!--k31--> nor followed Him need not be pressed too strictly, nor force us to <!--k05-->believe that he never saw <!--k30-->Christ<!--k31-->. Many indeed are of opinion that the young man who fled naked from <!--k05-->Gethsemane (Mark 14:51) was <!--k30-->Mark<!--k31--> himself. <!--k30-->Early<!--k31--> in the third century
Hippolytus ("Philosophumena", VII, <!--k30-->xxx<!--k31-->) refers to <!--k30-->Mark<!--k31--> as
ho <!--k30-->kolobodaktulos<!--k31-->, i.e. "stump-fingered" or "mutilated in the finger(s)", and later <!--k30-->authorities<!--k31--> allude to the same defect. <!--k30-->Various<!--k31--> explanations of the <!--k30-->epithet<!--k31--> have been suggested: that <!--k30-->Mark<!--k31-->, after he embraced
Christianity, cut off his thumb to unfit himself for the
Jewish priesthood; that his fingers were <!--k30-->naturally<!--k31--> <!--k30-->stumpy<!--k31-->; that some defect in his <!--k30-->toes<!--k31--> is alluded to; that the <!--k30-->epithet<!--k31--> is to be regarded as metaphorical, and means "deserted" (cf.
Acts 13:13)."
I've highlighted it in red/blue and green; it seems they are not sure themselves.
As to Luke, I'm still looking.